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Finding the Fourth Proportional to 81.81, 121.84 and 81.27

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Solution

The fourth proportional to 81.81, 121.84 and 81.27 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.81 : 121.84 = 81.27 : x
  2. Step 2: Convert to fraction form
    81.81/121.84 = 81.27/x
  3. Step 3: Cross multiply
    81.81x = 121.84 × 81.27
  4. Step 4: Simplify right side
    81.81x = 9,901.73
  5. Step 5: Solve for x
    x = 9,901.73/81.81
  6. Step 6: Final answer
    x = 121.03

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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.