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Finding the Fourth Proportional to 151.60, 209.15 and 99.21

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Solution

The fourth proportional to 151.60, 209.15 and 99.21 is: 136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.60 : 209.15 = 99.21 : x
  2. Step 2: Convert to fraction form
    151.60/209.15 = 99.21/x
  3. Step 3: Cross multiply
    151.60x = 209.15 × 99.21
  4. Step 4: Simplify right side
    151.60x = 20,749.77
  5. Step 5: Solve for x
    x = 20,749.77/151.60
  6. Step 6: Final answer
    x = 136.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.