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Finding the Fourth Proportional to 82.16, 122.32 and 81.92

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Solution

The fourth proportional to 82.16, 122.32 and 81.92 is: 121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 122.32 = 81.92 : x
  2. Step 2: Convert to fraction form
    82.16/122.32 = 81.92/x
  3. Step 3: Cross multiply
    82.16x = 122.32 × 81.92
  4. Step 4: Simplify right side
    82.16x = 10,020.45
  5. Step 5: Solve for x
    x = 10,020.45/82.16
  6. Step 6: Final answer
    x = 121.96

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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.