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Finding the Fourth Proportional to 151.60, 209.20 and 82.60

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Solution

The fourth proportional to 151.60, 209.20 and 82.60 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.60 : 209.20 = 82.60 : x
  2. Step 2: Convert to fraction form
    151.60/209.20 = 82.60/x
  3. Step 3: Cross multiply
    151.60x = 209.20 × 82.60
  4. Step 4: Simplify right side
    151.60x = 17,279.92
  5. Step 5: Solve for x
    x = 17,279.92/151.60
  6. Step 6: Final answer
    x = 113.98

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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.