Finding the Fourth Proportional to 102.05, 140.00 and 100.69

Step by Step Solution

1. Step 1: Write the proportion equation
   102.05 : 140.00 = 100.69 : x
2. Step 2: Convert to fraction form
   102.05/140.00 = 100.69/x
3. Step 3: Cross multiply
   102.05x = 140.00 × 100.69
4. Step 4: Simplify right side
   102.05x = 14,095.75
5. Step 5: Solve for x
   x = 14,095.75/102.05
6. Step 6: Final answer
   x = 138.12