When the fuel is empty, resistance is 3 ohms and when full it's 110 ohms.
Is this information from some car manual, or did you measure this??
My experience is that the resistances quoted in manuals are approximate at best.
Since you want to know the Voltage as the amount of fuel changes, I suggest you actually measure it. Maybe carefully hook up a 2-wire cable to:
(ground and gauge/level sensor wire; power on)
and connect your multimeter to it. Get a separate can of fuel, maybe 2 or 3 gallons, and drive the car carefully until it actually runs out of fuel, and get that reading. THAT is the one you care about the most. Many fuel gauges are known to be inaccurate near empty tank. AND the value varies quite a bit depending on if the car is pointing uphill or downhill!
Then use your spare fuel to add to the tank, restart the car and drive to a fuel station and slowly fill the tank, recording the voltage at 1/4, 1/2, 3/4 etc. THEN you can decide how to use Arduino to measure the range of voltages, and how you want to display "Liters Left before the car stops".
Do not do this on the AutoBahn.
I love Engineering, but sometimes the Empirical approach gets you what you need.