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Finding the Fourth Proportional to 57.61, 86.00 and 50.78

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Solution

The fourth proportional to 57.61, 86.00 and 50.78 is: 75.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.61 : 86.00 = 50.78 : x
  2. Step 2: Convert to fraction form
    57.61/86.00 = 50.78/x
  3. Step 3: Cross multiply
    57.61x = 86.00 × 50.78
  4. Step 4: Simplify right side
    57.61x = 4,366.88
  5. Step 5: Solve for x
    x = 4,366.88/57.61
  6. Step 6: Final answer
    x = 75.80

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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.