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Finding the Fourth Proportional to 38.21, 57.30 and 24.62

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Solution

The fourth proportional to 38.21, 57.30 and 24.62 is: 36.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.21 : 57.30 = 24.62 : x
  2. Step 2: Convert to fraction form
    38.21/57.30 = 24.62/x
  3. Step 3: Cross multiply
    38.21x = 57.30 × 24.62
  4. Step 4: Simplify right side
    38.21x = 1,410.73
  5. Step 5: Solve for x
    x = 1,410.73/38.21
  6. Step 6: Final answer
    x = 36.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.