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Finding the Fourth Proportional to 96.74, 144.33 and 87.02

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Solution

The fourth proportional to 96.74, 144.33 and 87.02 is: 129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 144.33 = 87.02 : x
  2. Step 2: Convert to fraction form
    96.74/144.33 = 87.02/x
  3. Step 3: Cross multiply
    96.74x = 144.33 × 87.02
  4. Step 4: Simplify right side
    96.74x = 12,560.39
  5. Step 5: Solve for x
    x = 12,560.39/96.74
  6. Step 6: Final answer
    x = 129.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.