Fowler played a mistake-free round Saturday with five birdies and no bogeys.
Hatton did his work before that stretch, running off three straight birdies to get within one of the lead.
Hatton, who will make his Masters debut this year, could have been closer to the lead had he not bogeyed the penultimate hole.
"I'll be out front and in control, and with the way I feel about the game, the way I've been swinging, I'm looking forward to it". "Tomorrow just make sure we settle in a little quicker, just trust it and have some fun".
"Certainly 15 and 17, you're thinking about those holes for a long time and trying to figure out your strategy and just really praying to get through them", he said.
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If it was not one of Lukaku's prettier goals, it was the type of opportunity few other forwards would have been able to accept. Lukaku showed speed, strength and determination in homing in on goal, as well as the ability to force the ball past Pickford.
The world No 14 picked up further shots at the third and fourth, but a poor tee-shot to the par-three seventh cost him another bogey as he slipped to eight under, one ahead of India's Anirban Lahiri. He made bogey and eventually lost in a playoff.
Hatton, in his first PGA Tour event in Florida, came into the week with no expectations and stuck to that plan. "I can't thank him enough for what he did". The par-4 second hole played most hard (4.36) ...
Hatton, who has won five times as a pro topped by the Alfred Dunhill Links Championship past year, was one stroke behind after making three straight birdies through No. 14, but made a bogey at No. 17 as Fowler birdied two of the last three.
Hatton, whose five victories as a professional include a European Tour win at the Alfred Dunill Links Championship previous year, was just one stroke adrift after birdies at the 12th, 13th and 14th.
Also at 203 were Emiliano Grillo of Argentina and Sean O'Hair of Chadds Ford, Pa., who both shot 65, Gary Woodland (66) of Topeka, Kan., and Martin Kaymer (68) of Germany. He hasn't had a PGA Tour victory since the 2015 Deutsche Bank Championship.
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This is the fifth time he has held a 54-hole lead on the PGA Tour and Fowler has yet to win from that position.
"I keep up with the boys on the European Tour, just because everything happens nearly a day ahead, so you wake up and you're able to check scores and see what's going on", said Fowler. "It's been my strength the last few years", said Palmer, the Honda runner-up three years ago.
"I was able to score well and manage it well and scramble well early on to keep the momentum going", Fowler said. But on Saturday, he made no birdies, shot 74 and dropped out of the hunt.
"I can honestly say for that time, I just ruled being No. 1 out of the equation. I think that's definitely attainable".
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