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Finding the Fourth Proportional to 38.09, 52.57 and 21.73

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Solution

The fourth proportional to 38.09, 52.57 and 21.73 is: 29.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.09 : 52.57 = 21.73 : x
  2. Step 2: Convert to fraction form
    38.09/52.57 = 21.73/x
  3. Step 3: Cross multiply
    38.09x = 52.57 × 21.73
  4. Step 4: Simplify right side
    38.09x = 1,142.28
  5. Step 5: Solve for x
    x = 1,142.28/38.09
  6. Step 6: Final answer
    x = 29.99

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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.