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Finding the Fourth Proportional to 81.65, 122.43 and 27.54

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Solution

The fourth proportional to 81.65, 122.43 and 27.54 is: 41.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.65 : 122.43 = 27.54 : x
  2. Step 2: Convert to fraction form
    81.65/122.43 = 27.54/x
  3. Step 3: Cross multiply
    81.65x = 122.43 × 27.54
  4. Step 4: Simplify right side
    81.65x = 3,371.72
  5. Step 5: Solve for x
    x = 3,371.72/81.65
  6. Step 6: Final answer
    x = 41.29

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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.