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Finding the Fourth Proportional to 151.52, 209.20 and 99.84

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Solution

The fourth proportional to 151.52, 209.20 and 99.84 is: 137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 209.20 = 99.84 : x
  2. Step 2: Convert to fraction form
    151.52/209.20 = 99.84/x
  3. Step 3: Cross multiply
    151.52x = 209.20 × 99.84
  4. Step 4: Simplify right side
    151.52x = 20,886.53
  5. Step 5: Solve for x
    x = 20,886.53/151.52
  6. Step 6: Final answer
    x = 137.85

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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.