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Finding the Fourth Proportional to 149.89, 224.84 and 58.61

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Solution

The fourth proportional to 149.89, 224.84 and 58.61 is: 87.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.89 : 224.84 = 58.61 : x
  2. Step 2: Convert to fraction form
    149.89/224.84 = 58.61/x
  3. Step 3: Cross multiply
    149.89x = 224.84 × 58.61
  4. Step 4: Simplify right side
    149.89x = 13,176.46
  5. Step 5: Solve for x
    x = 13,176.46/149.89
  6. Step 6: Final answer
    x = 87.91

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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.