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Finding the Fourth Proportional to 151.83, 209.49 and 99.39

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Solution

The fourth proportional to 151.83, 209.49 and 99.39 is: 137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.83 : 209.49 = 99.39 : x
  2. Step 2: Convert to fraction form
    151.83/209.49 = 99.39/x
  3. Step 3: Cross multiply
    151.83x = 209.49 × 99.39
  4. Step 4: Simplify right side
    151.83x = 20,821.21
  5. Step 5: Solve for x
    x = 20,821.21/151.83
  6. Step 6: Final answer
    x = 137.14

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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.