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Finding the Fourth Proportional to 149.92, 225 and 58.66

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Solution

The fourth proportional to 149.92, 225 and 58.66 is: 88.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 225 = 58.66 : x
  2. Step 2: Convert to fraction form
    149.92/225 = 58.66/x
  3. Step 3: Cross multiply
    149.92x = 225 × 58.66
  4. Step 4: Simplify right side
    149.92x = 13,198.50
  5. Step 5: Solve for x
    x = 13,198.50/149.92
  6. Step 6: Final answer
    x = 88.04

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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.