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Finding the Fourth Proportional to 81.81, 122.75 and 54.75

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Solution

The fourth proportional to 81.81, 122.75 and 54.75 is: 82.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.81 : 122.75 = 54.75 : x
  2. Step 2: Convert to fraction form
    81.81/122.75 = 54.75/x
  3. Step 3: Cross multiply
    81.81x = 122.75 × 54.75
  4. Step 4: Simplify right side
    81.81x = 6,720.29
  5. Step 5: Solve for x
    x = 6,720.29/81.81
  6. Step 6: Final answer
    x = 82.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.