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Finding the Fourth Proportional to 83.18, 124.56 and 46.52

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Solution

The fourth proportional to 83.18, 124.56 and 46.52 is: 69.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.18 : 124.56 = 46.52 : x
  2. Step 2: Convert to fraction form
    83.18/124.56 = 46.52/x
  3. Step 3: Cross multiply
    83.18x = 124.56 × 46.52
  4. Step 4: Simplify right side
    83.18x = 5,794.53
  5. Step 5: Solve for x
    x = 5,794.53/83.18
  6. Step 6: Final answer
    x = 69.66

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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.