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Finding the Fourth Proportional to 82.20, 122.54 and 80.62

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Solution

The fourth proportional to 82.20, 122.54 and 80.62 is: 120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 122.54 = 80.62 : x
  2. Step 2: Convert to fraction form
    82.20/122.54 = 80.62/x
  3. Step 3: Cross multiply
    82.20x = 122.54 × 80.62
  4. Step 4: Simplify right side
    82.20x = 9,879.17
  5. Step 5: Solve for x
    x = 9,879.17/82.20
  6. Step 6: Final answer
    x = 120.18

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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.