What is the opposite of arbitrary?

If a ruling is arbitrary, it means:

Fill in the blank: A person who prattles often ______ without making much sense.

Fill in the blank: The antonym of hew is to ______.

Fill in the blank: An arbitrary ruling is one that is made ______ reason.

Fill in the blank: The best way to describe latent potential is ______ talent.

What does the word 'incinerate' mean?

Although she had never studied music formally, her __________ talent for playing the piano became evident when she sat down and played a complex piece by ear.

The carpenter skillfully used his tools to __________ the wooden beams, shaping them into sturdy support columns for the cabin.