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Finding the Fourth Proportional to 38.14, 57.46 and 32.42

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Solution

The fourth proportional to 38.14, 57.46 and 32.42 is: 48.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.14 : 57.46 = 32.42 : x
  2. Step 2: Convert to fraction form
    38.14/57.46 = 32.42/x
  3. Step 3: Cross multiply
    38.14x = 57.46 × 32.42
  4. Step 4: Simplify right side
    38.14x = 1,862.85
  5. Step 5: Solve for x
    x = 1,862.85/38.14
  6. Step 6: Final answer
    x = 48.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.