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Finding the Fourth Proportional to 38.26, 52.78 and 22.71

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Solution

The fourth proportional to 38.26, 52.78 and 22.71 is: 31.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.26 : 52.78 = 22.71 : x
  2. Step 2: Convert to fraction form
    38.26/52.78 = 22.71/x
  3. Step 3: Cross multiply
    38.26x = 52.78 × 22.71
  4. Step 4: Simplify right side
    38.26x = 1,198.63
  5. Step 5: Solve for x
    x = 1,198.63/38.26
  6. Step 6: Final answer
    x = 31.33

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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.