So you need 4.1 V X 55 = 225.5 V output? . At 100 KHZ a cycle is 10µS, so at a slew rate of .1V/µS, the signal would only get to 1V before the input disappeared. I would think a slew rate of 200V /µS would be more like it.
What is the capacitance of your transducer? From this and the wanted slew rate you can calculate the capacitance charging current and then the likely source impedance. then you can see that you will need a voltage amplifier with a moderate current output and moderately low output impedance. A little bit of inductive peaking might extend the frequency response with out causing too much ringing. I would think that a pair of 2W high voltage 5W transistors with an IC amp as a front end and to apply voltage feedback to, might just work.
Frank