Finding the Fourth Proportional to 102.56, 153.86 and 34.10

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 153.86 = 34.10 : x
2. Step 2: Convert to fraction form
   102.56/153.86 = 34.10/x
3. Step 3: Cross multiply
   102.56x = 153.86 × 34.10
4. Step 4: Simplify right side
   102.56x = 5,247.01
5. Step 5: Solve for x
   x = 5,247.01/102.56
6. Step 6: Final answer
   x = 51.16