What you are asking is how do I get the voltage I need from what I have.
An LPad is a way to create any voltage you want from what you have while maintaining the same load impedance.
If you measured the voltage you have now in a loaded condition (source connected to load of known impedance) the LPad calcs we just did apply nicely. They don't apply if you measure open circuit voltage. Every source has an impedance too.
You could just add series resistance and that would drop the voltage too, but the load impedance would change.
The why of it is just Ohms Law. And Kirchoff's current and voltage laws.
Voltage Law - the sum of the voltage drops in any closed loop is zero.
Current Law - The current leaving any junction is equal to the current entering.
Tough stuff eh?
If you have 6 volts and you need 1.5, then the 1/4 stuff we did is good. If you have 6 volts and you need 3, then the 1/2 stuff is good.
If you need something else, you figure it out and I will review your findings.