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Please consider the following two main clauses.

Both variables have the same range of values. Therefore, a 4:3 aspect ratio has been chosen.

I would like to combine these two main clauses into one sentence containing a main clause and a relative subclause like this:

Both variables have the same range of values why a 4:3 aspect ratio has been chosen.

Is this grammatically correct? I could not find an authoritive answer on the web. While this page mentions why as a relative pronoun, it does not give an example. In contrast, Wikipedia does not mention it as relative pronoun at all.

If my second sentence is grammatically incorrect, could you suggest a way to rephrase it?

1

Your second sentence is not grammatically correct. You could say

Both variables have the same range of values, which is why a 4:3 aspect ratio has been chosen.

  • Could you elaborate on the reason for its incorrectness? – Deve Sep 18 '14 at 18:35
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    Nope. I'm not a linguist, I'm a native speaker. All I know is that you don't use why like that. – user8543 Sep 22 '14 at 8:30
  • You can't use why as a relative pronoun. – LawrenceC Nov 19 '14 at 18:20
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Why can be a relative pronoun after the reason.

E.g.:

The reason why I am here is to help you.

In the example, why I am here is a relative clause modifying reason.

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