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Finding the Fourth Proportional to 151.57, 209.15 and 96.29

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Solution

The fourth proportional to 151.57, 209.15 and 96.29 is: 132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 209.15 = 96.29 : x
  2. Step 2: Convert to fraction form
    151.57/209.15 = 96.29/x
  3. Step 3: Cross multiply
    151.57x = 209.15 × 96.29
  4. Step 4: Simplify right side
    151.57x = 20,139.05
  5. Step 5: Solve for x
    x = 20,139.05/151.57
  6. Step 6: Final answer
    x = 132.87

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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.