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Finding the Fourth Proportional to 131.52, 180.69 and 125.76

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Solution

The fourth proportional to 131.52, 180.69 and 125.76 is: 172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 180.69 = 125.76 : x
  2. Step 2: Convert to fraction form
    131.52/180.69 = 125.76/x
  3. Step 3: Cross multiply
    131.52x = 180.69 × 125.76
  4. Step 4: Simplify right side
    131.52x = 22,723.57
  5. Step 5: Solve for x
    x = 22,723.57/131.52
  6. Step 6: Final answer
    x = 172.78

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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.