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Finding the Fourth Proportional to 81.57, 122.36 and 27.46

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Solution

The fourth proportional to 81.57, 122.36 and 27.46 is: 41.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.57 : 122.36 = 27.46 : x
  2. Step 2: Convert to fraction form
    81.57/122.36 = 27.46/x
  3. Step 3: Cross multiply
    81.57x = 122.36 × 27.46
  4. Step 4: Simplify right side
    81.57x = 3,360.01
  5. Step 5: Solve for x
    x = 3,360.01/81.57
  6. Step 6: Final answer
    x = 41.19

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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.