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Finding the Fourth Proportional to 151.69, 209.42 and 99.31

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Solution

The fourth proportional to 151.69, 209.42 and 99.31 is: 137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 209.42 = 99.31 : x
  2. Step 2: Convert to fraction form
    151.69/209.42 = 99.31/x
  3. Step 3: Cross multiply
    151.69x = 209.42 × 99.31
  4. Step 4: Simplify right side
    151.69x = 20,797.50
  5. Step 5: Solve for x
    x = 20,797.50/151.69
  6. Step 6: Final answer
    x = 137.11

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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.