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Finding the Fourth Proportional to 82.28, 123.91 and 74.26

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Solution

The fourth proportional to 82.28, 123.91 and 74.26 is: 111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 123.91 = 74.26 : x
  2. Step 2: Convert to fraction form
    82.28/123.91 = 74.26/x
  3. Step 3: Cross multiply
    82.28x = 123.91 × 74.26
  4. Step 4: Simplify right side
    82.28x = 9,200.57
  5. Step 5: Solve for x
    x = 9,200.57/82.28
  6. Step 6: Final answer
    x = 111.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.