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Finding the Fourth Proportional to 41.78, 57.62 and 27.22

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Solution

The fourth proportional to 41.78, 57.62 and 27.22 is: 37.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.78 : 57.62 = 27.22 : x
  2. Step 2: Convert to fraction form
    41.78/57.62 = 27.22/x
  3. Step 3: Cross multiply
    41.78x = 57.62 × 27.22
  4. Step 4: Simplify right side
    41.78x = 1,568.42
  5. Step 5: Solve for x
    x = 1,568.42/41.78
  6. Step 6: Final answer
    x = 37.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.