Inductive reasoning is connected to the idea of leading because, in inductive reasoning, observations lead to conclusions.
When we use inductive reasoning, we take facts that we have observed and we allow them to lead us to conclusions. For example, we know that all life forms on Earth that have ever been found require water in order to live. This leads us to the conclusion that all life forms that could exist anywhere would need water (or perhaps some other form of liquid) to exist.
In this way, our observations lead us to conclusions or to general rules. This is the connection between the word "lead" and inductive reasoning.