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Finding the Fourth Proportional to 38.09, 52.56 and 21.71

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Solution

The fourth proportional to 38.09, 52.56 and 21.71 is: 29.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.09 : 52.56 = 21.71 : x
  2. Step 2: Convert to fraction form
    38.09/52.56 = 21.71/x
  3. Step 3: Cross multiply
    38.09x = 52.56 × 21.71
  4. Step 4: Simplify right side
    38.09x = 1,141.21
  5. Step 5: Solve for x
    x = 1,141.21/38.09
  6. Step 6: Final answer
    x = 29.96

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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.