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Finding the Fourth Proportional to 96.80, 133.72 and 82.49

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Solution

The fourth proportional to 96.80, 133.72 and 82.49 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.80 : 133.72 = 82.49 : x
  2. Step 2: Convert to fraction form
    96.80/133.72 = 82.49/x
  3. Step 3: Cross multiply
    96.80x = 133.72 × 82.49
  4. Step 4: Simplify right side
    96.80x = 11,029.69
  5. Step 5: Solve for x
    x = 11,029.69/96.80
  6. Step 6: Final answer
    x = 113.95

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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.