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Finding the Fourth Proportional to 96.98, 133.82 and 93.70

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Solution

The fourth proportional to 96.98, 133.82 and 93.70 is: 129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.98 : 133.82 = 93.70 : x
  2. Step 2: Convert to fraction form
    96.98/133.82 = 93.70/x
  3. Step 3: Cross multiply
    96.98x = 133.82 × 93.70
  4. Step 4: Simplify right side
    96.98x = 12,538.93
  5. Step 5: Solve for x
    x = 12,538.93/96.98
  6. Step 6: Final answer
    x = 129.29

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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.