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Finding the Fourth Proportional to 57.78, 86.49 and 41.76

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Solution

The fourth proportional to 57.78, 86.49 and 41.76 is: 62.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.78 : 86.49 = 41.76 : x
  2. Step 2: Convert to fraction form
    57.78/86.49 = 41.76/x
  3. Step 3: Cross multiply
    57.78x = 86.49 × 41.76
  4. Step 4: Simplify right side
    57.78x = 3,611.82
  5. Step 5: Solve for x
    x = 3,611.82/57.78
  6. Step 6: Final answer
    x = 62.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.