This is known as the Red Roses Chord Progression.
When Somebody Thinks You're Wonderful
'Tain't No Sin To Take Off Your Skin
You Won't Find Another Fool Like Me
Need a Little Sugar in My Bowl [half bars]
You Won't Find Another Fool Like Me was made famous by The New Seekers, back in the 1970s. It was written for them, I think, by Geoff Stephens and Tony MacAulay. There is no doubt that the drop from the tonic chord covering You won't find another fool like to the seventh on me, babe accounts for much of the appeal and catchiness of this tune. Here it is: