Finding the Fourth Proportional to 105.96, 146.27 and 75.05

Step by Step Solution

1. Step 1: Write the proportion equation
   105.96 : 146.27 = 75.05 : x
2. Step 2: Convert to fraction form
   105.96/146.27 = 75.05/x
3. Step 3: Cross multiply
   105.96x = 146.27 × 75.05
4. Step 4: Simplify right side
   105.96x = 10,976.46
5. Step 5: Solve for x
   x = 10,976.46/105.96
6. Step 6: Final answer
   x = 103.59