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Finding the Fourth Proportional to 81.49, 122.23 and 27.38

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Solution

The fourth proportional to 81.49, 122.23 and 27.38 is: 41.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.49 : 122.23 = 27.38 : x
  2. Step 2: Convert to fraction form
    81.49/122.23 = 27.38/x
  3. Step 3: Cross multiply
    81.49x = 122.23 × 27.38
  4. Step 4: Simplify right side
    81.49x = 3,346.66
  5. Step 5: Solve for x
    x = 3,346.66/81.49
  6. Step 6: Final answer
    x = 41.07

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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.