The boy is related to the girl as her brother. Explanation:
- The "father of my uncle" is the girl's grandfather.
- The "daughter of the father of my uncle" is the grandfather's daughter, who would be the girl's mother (or aunt).
- The boy is the son of this daughter, meaning the son of the girl's mother (or aunt).
- Since it commonly means the girl shares the same mother, the boy is her brother.
Thus, the boy is the brother of the girl.