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Finding the Fourth Proportional to 54.49, 81.76 and 27.42

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Solution

The fourth proportional to 54.49, 81.76 and 27.42 is: 41.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.49 : 81.76 = 27.42 : x
  2. Step 2: Convert to fraction form
    54.49/81.76 = 27.42/x
  3. Step 3: Cross multiply
    54.49x = 81.76 × 27.42
  4. Step 4: Simplify right side
    54.49x = 2,241.79
  5. Step 5: Solve for x
    x = 2,241.79/54.49
  6. Step 6: Final answer
    x = 41.14

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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.