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Finding the Fourth Proportional to 38.48, 57.42 and 34.65

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Solution

The fourth proportional to 38.48, 57.42 and 34.65 is: 51.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.48 : 57.42 = 34.65 : x
  2. Step 2: Convert to fraction form
    38.48/57.42 = 34.65/x
  3. Step 3: Cross multiply
    38.48x = 57.42 × 34.65
  4. Step 4: Simplify right side
    38.48x = 1,989.60
  5. Step 5: Solve for x
    x = 1,989.60/38.48
  6. Step 6: Final answer
    x = 51.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.