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Finding the Fourth Proportional to 132.11, 180.95 and 124.64

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Solution

The fourth proportional to 132.11, 180.95 and 124.64 is: 170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.11 : 180.95 = 124.64 : x
  2. Step 2: Convert to fraction form
    132.11/180.95 = 124.64/x
  3. Step 3: Cross multiply
    132.11x = 180.95 × 124.64
  4. Step 4: Simplify right side
    132.11x = 22,552.78
  5. Step 5: Solve for x
    x = 22,552.78/132.11
  6. Step 6: Final answer
    x = 170.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.