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Finding the Fourth Proportional to 148.70, 223.12 and 71.66

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Solution

The fourth proportional to 148.70, 223.12 and 71.66 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.70 : 223.12 = 71.66 : x
  2. Step 2: Convert to fraction form
    148.70/223.12 = 71.66/x
  3. Step 3: Cross multiply
    148.70x = 223.12 × 71.66
  4. Step 4: Simplify right side
    148.70x = 15,988.78
  5. Step 5: Solve for x
    x = 15,988.78/148.70
  6. Step 6: Final answer
    x = 107.52

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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.