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Finding the Fourth Proportional to 149.47, 224.17 and 58.13

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Solution

The fourth proportional to 149.47, 224.17 and 58.13 is: 87.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.47 : 224.17 = 58.13 : x
  2. Step 2: Convert to fraction form
    149.47/224.17 = 58.13/x
  3. Step 3: Cross multiply
    149.47x = 224.17 × 58.13
  4. Step 4: Simplify right side
    149.47x = 13,031.00
  5. Step 5: Solve for x
    x = 13,031.00/149.47
  6. Step 6: Final answer
    x = 87.18

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Why These Related Problems?

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