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Finding the Fourth Proportional to 95.70, 132.03 and 72.42

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Solution

The fourth proportional to 95.70, 132.03 and 72.42 is: 99.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.70 : 132.03 = 72.42 : x
  2. Step 2: Convert to fraction form
    95.70/132.03 = 72.42/x
  3. Step 3: Cross multiply
    95.70x = 132.03 × 72.42
  4. Step 4: Simplify right side
    95.70x = 9,561.61
  5. Step 5: Solve for x
    x = 9,561.61/95.70
  6. Step 6: Final answer
    x = 99.91

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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.