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Finding the Fourth Proportional to 82.14, 122.24 and 81.89

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Solution

The fourth proportional to 82.14, 122.24 and 81.89 is: 121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 122.24 = 81.89 : x
  2. Step 2: Convert to fraction form
    82.14/122.24 = 81.89/x
  3. Step 3: Cross multiply
    82.14x = 122.24 × 81.89
  4. Step 4: Simplify right side
    82.14x = 10,009.52
  5. Step 5: Solve for x
    x = 10,009.52/82.14
  6. Step 6: Final answer
    x = 121.86

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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.