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Finding the Fourth Proportional to 149.62, 224.13 and 91.66

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Solution

The fourth proportional to 149.62, 224.13 and 91.66 is: 137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.62 : 224.13 = 91.66 : x
  2. Step 2: Convert to fraction form
    149.62/224.13 = 91.66/x
  3. Step 3: Cross multiply
    149.62x = 224.13 × 91.66
  4. Step 4: Simplify right side
    149.62x = 20,543.76
  5. Step 5: Solve for x
    x = 20,543.76/149.62
  6. Step 6: Final answer
    x = 137.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.