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Finding the Fourth Proportional to 83.02, 123.68 and 79.15

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Solution

The fourth proportional to 83.02, 123.68 and 79.15 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.02 : 123.68 = 79.15 : x
  2. Step 2: Convert to fraction form
    83.02/123.68 = 79.15/x
  3. Step 3: Cross multiply
    83.02x = 123.68 × 79.15
  4. Step 4: Simplify right side
    83.02x = 9,789.27
  5. Step 5: Solve for x
    x = 9,789.27/83.02
  6. Step 6: Final answer
    x = 117.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.