You have ordered them in descending probability.
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Rayman55 looks set to becomeI have never heard "looks set" in my life. The other two have relatively the same meaning in my opinion. If the CEO of a company is retiring and I believe John is the next successor based on his performance and longevity of the company, then I may say " John is [likely] / posed to b
grammarfreakJohn is posed to become the next CEO...'Set to + verb' is common enough, but I have never heard 'posed to'. I suppose that you have misheard 'poised to'.