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Finding the Fourth Proportional to 96.75, 133.59 and 76.13

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Solution

The fourth proportional to 96.75, 133.59 and 76.13 is: 105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 133.59 = 76.13 : x
  2. Step 2: Convert to fraction form
    96.75/133.59 = 76.13/x
  3. Step 3: Cross multiply
    96.75x = 133.59 × 76.13
  4. Step 4: Simplify right side
    96.75x = 10,171.08
  5. Step 5: Solve for x
    x = 10,171.08/96.75
  6. Step 6: Final answer
    x = 105.13

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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.