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Finding the Fourth Proportional to 132.16, 181.90 and 101.02

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Solution

The fourth proportional to 132.16, 181.90 and 101.02 is: 139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 181.90 = 101.02 : x
  2. Step 2: Convert to fraction form
    132.16/181.90 = 101.02/x
  3. Step 3: Cross multiply
    132.16x = 181.90 × 101.02
  4. Step 4: Simplify right side
    132.16x = 18,375.54
  5. Step 5: Solve for x
    x = 18,375.54/132.16
  6. Step 6: Final answer
    x = 139.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.