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Finding the Fourth Proportional to 57.10, 78.82 and 38.69

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Solution

The fourth proportional to 57.10, 78.82 and 38.69 is: 53.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.10 : 78.82 = 38.69 : x
  2. Step 2: Convert to fraction form
    57.10/78.82 = 38.69/x
  3. Step 3: Cross multiply
    57.10x = 78.82 × 38.69
  4. Step 4: Simplify right side
    57.10x = 3,049.55
  5. Step 5: Solve for x
    x = 3,049.55/57.10
  6. Step 6: Final answer
    x = 53.41

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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.