Finding the Fourth Proportional to 152.64, 210.69 and 100.10

Step by Step Solution

1. Step 1: Write the proportion equation
   152.64 : 210.69 = 100.10 : x
2. Step 2: Convert to fraction form
   152.64/210.69 = 100.10/x
3. Step 3: Cross multiply
   152.64x = 210.69 × 100.10
4. Step 4: Simplify right side
   152.64x = 21,090.60
5. Step 5: Solve for x
   x = 21,090.60/152.64
6. Step 6: Final answer
   x = 138.17