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Finding the Fourth Proportional to 38.41, 53.02 and 24.61

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Solution

The fourth proportional to 38.41, 53.02 and 24.61 is: 33.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.41 : 53.02 = 24.61 : x
  2. Step 2: Convert to fraction form
    38.41/53.02 = 24.61/x
  3. Step 3: Cross multiply
    38.41x = 53.02 × 24.61
  4. Step 4: Simplify right side
    38.41x = 1,305.08
  5. Step 5: Solve for x
    x = 1,305.08/38.41
  6. Step 6: Final answer
    x = 33.98

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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.