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Finding the Fourth Proportional to 57.87, 79.85 and 45.55

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Solution

The fourth proportional to 57.87, 79.85 and 45.55 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.87 : 79.85 = 45.55 : x
  2. Step 2: Convert to fraction form
    57.87/79.85 = 45.55/x
  3. Step 3: Cross multiply
    57.87x = 79.85 × 45.55
  4. Step 4: Simplify right side
    57.87x = 3,637.41
  5. Step 5: Solve for x
    x = 3,637.41/57.87
  6. Step 6: Final answer
    x = 62.85

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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.