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Finding the Fourth Proportional to 82.27, 122.57 and 78.40

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Solution

The fourth proportional to 82.27, 122.57 and 78.40 is: 116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.27 : 122.57 = 78.40 : x
  2. Step 2: Convert to fraction form
    82.27/122.57 = 78.40/x
  3. Step 3: Cross multiply
    82.27x = 122.57 × 78.40
  4. Step 4: Simplify right side
    82.27x = 9,608.79
  5. Step 5: Solve for x
    x = 9,608.79/82.27
  6. Step 6: Final answer
    x = 116.80

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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.