Explanation:

- To an ordinary person, one kind of oil is as important as ______.

- Option 1: "anything" - This doesn't fit well because "anything" is too broad and doesn't provide a meaningful comparison.

- Option 2: "other" - This is not grammatically correct here because "other" generally needs a noun following it.

- Option 3: "another" - This is grammatically correct and makes sense. It suggests that to an ordinary person, one kind of oil is as important as any other type, emphasizing interchangeability.

- Option 4: "none" - This would imply no other oils are important, which doesn't maintain the intended comparison.