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Finding the Fourth Proportional to 57.20, 78.96 and 37.82

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Solution

The fourth proportional to 57.20, 78.96 and 37.82 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.20 : 78.96 = 37.82 : x
  2. Step 2: Convert to fraction form
    57.20/78.96 = 37.82/x
  3. Step 3: Cross multiply
    57.20x = 78.96 × 37.82
  4. Step 4: Simplify right side
    57.20x = 2,985.87
  5. Step 5: Solve for x
    x = 2,985.87/57.20
  6. Step 6: Final answer
    x = 52.21

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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.