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Finding the Fourth Proportional to 151.52, 209.11 and 96.24

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Solution

The fourth proportional to 151.52, 209.11 and 96.24 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 209.11 = 96.24 : x
  2. Step 2: Convert to fraction form
    151.52/209.11 = 96.24/x
  3. Step 3: Cross multiply
    151.52x = 209.11 × 96.24
  4. Step 4: Simplify right side
    151.52x = 20,124.75
  5. Step 5: Solve for x
    x = 20,124.75/151.52
  6. Step 6: Final answer
    x = 132.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.