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Finding the Fourth Proportional to 129.52, 177.77 and 125.56

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Solution

The fourth proportional to 129.52, 177.77 and 125.56 is: 172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.52 : 177.77 = 125.56 : x
  2. Step 2: Convert to fraction form
    129.52/177.77 = 125.56/x
  3. Step 3: Cross multiply
    129.52x = 177.77 × 125.56
  4. Step 4: Simplify right side
    129.52x = 22,320.80
  5. Step 5: Solve for x
    x = 22,320.80/129.52
  6. Step 6: Final answer
    x = 172.33

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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.