The question shows a pair of words that are related to each other in a certain…

A word-analogy pair states a relationship type - the answer pair must share the SAME relationship, not just a similar theme. "Refine : Style" is an improve-an-existing-attribute relationship: refining is an act of enhancing or perfecting a quality that already exists, not creating something new.

Applying this to "Retouch : Photograph": retouching is an action performed to improve or enhance an already-existing photograph, exactly mirroring how refining improves an already-existing style. Both verbs denote enhancement of something that already exists, not its creation.

Contrast with the other pairs:

• Paint : Wall - painting a wall is typically about covering or decorating a surface, an application/decoration action rather than refining an existing quality.

• Compose : Song - composing creates a new song from nothing; this is a creation relationship, not an improvement of something pre-existing.

• Author : Book - authoring is also a creation relationship (a writer creates the book), not an enhancement of something that already exists.

Hence, Retouch : Photograph shares the same improve-an-existing-attribute relationship as Refine : Style, making it the correct pair.