Reduce 160 Volts AC to 100 - 110 Volts AC (EL Wire Tape) Help
These devices are both sold by Radioshack. Assuming they work together is reasonable. Asking Radioshack themselves would be even more reasonable.

EL Wire doesn't have a single working voltage; it works over a range of voltages; as long as your Voltage isn't high enough to break the dielectric barrier, you won't have problems, unless your wire overheats. Since that inverter is spec'ed to deliver a maximum power, which directly limits the amount of heat you can produce as a byproduct of switching the direction of the electrical field over the electroluminescent dielectric, you'll be fine.