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Finding the Fourth Proportional to 38.42, 57.66 and 24.89

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Solution

The fourth proportional to 38.42, 57.66 and 24.89 is: 37.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.42 : 57.66 = 24.89 : x
  2. Step 2: Convert to fraction form
    38.42/57.66 = 24.89/x
  3. Step 3: Cross multiply
    38.42x = 57.66 × 24.89
  4. Step 4: Simplify right side
    38.42x = 1,435.03
  5. Step 5: Solve for x
    x = 1,435.03/38.42
  6. Step 6: Final answer
    x = 37.36

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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.