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Finding the Fourth Proportional to 41.65, 57.31 and 38.68

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Solution

The fourth proportional to 41.65, 57.31 and 38.68 is: 53.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.65 : 57.31 = 38.68 : x
  2. Step 2: Convert to fraction form
    41.65/57.31 = 38.68/x
  3. Step 3: Cross multiply
    41.65x = 57.31 × 38.68
  4. Step 4: Simplify right side
    41.65x = 2,216.75
  5. Step 5: Solve for x
    x = 2,216.75/41.65
  6. Step 6: Final answer
    x = 53.22

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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.