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Finding the Fourth Proportional to 38.23, 52.78 and 24.41

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Solution

The fourth proportional to 38.23, 52.78 and 24.41 is: 33.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.23 : 52.78 = 24.41 : x
  2. Step 2: Convert to fraction form
    38.23/52.78 = 24.41/x
  3. Step 3: Cross multiply
    38.23x = 52.78 × 24.41
  4. Step 4: Simplify right side
    38.23x = 1,288.24
  5. Step 5: Solve for x
    x = 1,288.24/38.23
  6. Step 6: Final answer
    x = 33.70

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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.