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Finding the Fourth Proportional to 83.05, 124.67 and 42.46

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Solution

The fourth proportional to 83.05, 124.67 and 42.46 is: 63.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.05 : 124.67 = 42.46 : x
  2. Step 2: Convert to fraction form
    83.05/124.67 = 42.46/x
  3. Step 3: Cross multiply
    83.05x = 124.67 × 42.46
  4. Step 4: Simplify right side
    83.05x = 5,293.49
  5. Step 5: Solve for x
    x = 5,293.49/83.05
  6. Step 6: Final answer
    x = 63.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.