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Finding the Fourth Proportional to 38.32, 52.86 and 22.78

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Solution

The fourth proportional to 38.32, 52.86 and 22.78 is: 31.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.32 : 52.86 = 22.78 : x
  2. Step 2: Convert to fraction form
    38.32/52.86 = 22.78/x
  3. Step 3: Cross multiply
    38.32x = 52.86 × 22.78
  4. Step 4: Simplify right side
    38.32x = 1,204.48
  5. Step 5: Solve for x
    x = 1,204.48/38.32
  6. Step 6: Final answer
    x = 31.43

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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.