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Finding the Fourth Proportional to 82.72, 123.29 and 79.12

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Solution

The fourth proportional to 82.72, 123.29 and 79.12 is: 117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 123.29 = 79.12 : x
  2. Step 2: Convert to fraction form
    82.72/123.29 = 79.12/x
  3. Step 3: Cross multiply
    82.72x = 123.29 × 79.12
  4. Step 4: Simplify right side
    82.72x = 9,754.70
  5. Step 5: Solve for x
    x = 9,754.70/82.72
  6. Step 6: Final answer
    x = 117.92

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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.