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Finding the Fourth Proportional to 82.08, 122.31 and 76.68

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Solution

The fourth proportional to 82.08, 122.31 and 76.68 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.08 : 122.31 = 76.68 : x
  2. Step 2: Convert to fraction form
    82.08/122.31 = 76.68/x
  3. Step 3: Cross multiply
    82.08x = 122.31 × 76.68
  4. Step 4: Simplify right side
    82.08x = 9,378.73
  5. Step 5: Solve for x
    x = 9,378.73/82.08
  6. Step 6: Final answer
    x = 114.26

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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.