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Finding the Fourth Proportional to 96.38, 133.00 and 52.71

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Solution

The fourth proportional to 96.38, 133.00 and 52.71 is: 72.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.38 : 133.00 = 52.71 : x
  2. Step 2: Convert to fraction form
    96.38/133.00 = 52.71/x
  3. Step 3: Cross multiply
    96.38x = 133.00 × 52.71
  4. Step 4: Simplify right side
    96.38x = 7,010.55
  5. Step 5: Solve for x
    x = 7,010.55/96.38
  6. Step 6: Final answer
    x = 72.74

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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.