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Finding the Fourth Proportional to 82.34, 122.56 and 81.18

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Solution

The fourth proportional to 82.34, 122.56 and 81.18 is: 120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 122.56 = 81.18 : x
  2. Step 2: Convert to fraction form
    82.34/122.56 = 81.18/x
  3. Step 3: Cross multiply
    82.34x = 122.56 × 81.18
  4. Step 4: Simplify right side
    82.34x = 9,949.42
  5. Step 5: Solve for x
    x = 9,949.42/82.34
  6. Step 6: Final answer
    x = 120.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.