The term 'Persian Pooh-Bah' is a reference to a character in Gilbert and Sullivan's comic opera, The Mikado. The term is used to describe someone who holds multiple important positions in an organization or society. The two crossword solutions for this term are Agha (4 letters) and SHAH (4 letters). Agha is a Turkish title of nobility, while SHAH is a title of Persian royalty. Both titles are associated with high status and power.