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Finding the Fourth Proportional to 151.80, 209.52 and 99.42

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Solution

The fourth proportional to 151.80, 209.52 and 99.42 is: 137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 209.52 = 99.42 : x
  2. Step 2: Convert to fraction form
    151.80/209.52 = 99.42/x
  3. Step 3: Cross multiply
    151.80x = 209.52 × 99.42
  4. Step 4: Simplify right side
    151.80x = 20,830.48
  5. Step 5: Solve for x
    x = 20,830.48/151.80
  6. Step 6: Final answer
    x = 137.22

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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.