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Finding the Fourth Proportional to 41.78, 57.63 and 27.21

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Solution

The fourth proportional to 41.78, 57.63 and 27.21 is: 37.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.78 : 57.63 = 27.21 : x
  2. Step 2: Convert to fraction form
    41.78/57.63 = 27.21/x
  3. Step 3: Cross multiply
    41.78x = 57.63 × 27.21
  4. Step 4: Simplify right side
    41.78x = 1,568.11
  5. Step 5: Solve for x
    x = 1,568.11/41.78
  6. Step 6: Final answer
    x = 37.53

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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.