Finding the Fourth Proportional to 105.05, 157.51 and 64.55

Step by Step Solution

1. Step 1: Write the proportion equation
   105.05 : 157.51 = 64.55 : x
2. Step 2: Convert to fraction form
   105.05/157.51 = 64.55/x
3. Step 3: Cross multiply
   105.05x = 157.51 × 64.55
4. Step 4: Simplify right side
   105.05x = 10,167.27
5. Step 5: Solve for x
   x = 10,167.27/105.05
6. Step 6: Final answer
   x = 96.79