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Finding the Fourth Proportional to 148.97, 223.61 and 67.83

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Solution

The fourth proportional to 148.97, 223.61 and 67.83 is: 101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 223.61 = 67.83 : x
  2. Step 2: Convert to fraction form
    148.97/223.61 = 67.83/x
  3. Step 3: Cross multiply
    148.97x = 223.61 × 67.83
  4. Step 4: Simplify right side
    148.97x = 15,167.13
  5. Step 5: Solve for x
    x = 15,167.13/148.97
  6. Step 6: Final answer
    x = 101.82

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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.