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Finding the Fourth Proportional to 151.78, 209.34 and 99.24

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Solution

The fourth proportional to 151.78, 209.34 and 99.24 is: 136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.78 : 209.34 = 99.24 : x
  2. Step 2: Convert to fraction form
    151.78/209.34 = 99.24/x
  3. Step 3: Cross multiply
    151.78x = 209.34 × 99.24
  4. Step 4: Simplify right side
    151.78x = 20,774.19
  5. Step 5: Solve for x
    x = 20,774.19/151.78
  6. Step 6: Final answer
    x = 136.87

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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.