Explanation

This chair resembles that of Mr. Rasool Bux.

یہ کرسی جناب رسول بخش کی کرسی سے ملتی ہے۔

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"Resemble" is a transitive verb, meaning it takes a direct object.

It doesn't require a preposition like "to", "with", or "of" before the object it describes.

In this case, the object is "that of Mr. Rasool Bux"

So, no preposition like of, to, or with is used after resemble.