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Finding the Fourth Proportional to 151.68, 209.25 and 96.39

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Solution

The fourth proportional to 151.68, 209.25 and 96.39 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 209.25 = 96.39 : x
  2. Step 2: Convert to fraction form
    151.68/209.25 = 96.39/x
  3. Step 3: Cross multiply
    151.68x = 209.25 × 96.39
  4. Step 4: Simplify right side
    151.68x = 20,169.61
  5. Step 5: Solve for x
    x = 20,169.61/151.68
  6. Step 6: Final answer
    x = 132.97

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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.