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Finding the Fourth Proportional to 151.92, 209.57 and 89.73

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Solution

The fourth proportional to 151.92, 209.57 and 89.73 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 209.57 = 89.73 : x
  2. Step 2: Convert to fraction form
    151.92/209.57 = 89.73/x
  3. Step 3: Cross multiply
    151.92x = 209.57 × 89.73
  4. Step 4: Simplify right side
    151.92x = 18,804.27
  5. Step 5: Solve for x
    x = 18,804.27/151.92
  6. Step 6: Final answer
    x = 123.78

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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.