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Finding the Fourth Proportional to 83.67, 125.46 and 45.14

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Solution

The fourth proportional to 83.67, 125.46 and 45.14 is: 67.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.67 : 125.46 = 45.14 : x
  2. Step 2: Convert to fraction form
    83.67/125.46 = 45.14/x
  3. Step 3: Cross multiply
    83.67x = 125.46 × 45.14
  4. Step 4: Simplify right side
    83.67x = 5,663.26
  5. Step 5: Solve for x
    x = 5,663.26/83.67
  6. Step 6: Final answer
    x = 67.69

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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.