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Finding the Fourth Proportional to 38.18, 52.71 and 24.38

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Solution

The fourth proportional to 38.18, 52.71 and 24.38 is: 33.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.18 : 52.71 = 24.38 : x
  2. Step 2: Convert to fraction form
    38.18/52.71 = 24.38/x
  3. Step 3: Cross multiply
    38.18x = 52.71 × 24.38
  4. Step 4: Simplify right side
    38.18x = 1,284.68
  5. Step 5: Solve for x
    x = 1,284.68/38.18
  6. Step 6: Final answer
    x = 33.65

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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.