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Finding the Fourth Proportional to 57.87, 80.06 and 54

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Solution

The fourth proportional to 57.87, 80.06 and 54 is: 74.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.87 : 80.06 = 54 : x
  2. Step 2: Convert to fraction form
    57.87/80.06 = 54/x
  3. Step 3: Cross multiply
    57.87x = 80.06 × 54
  4. Step 4: Simplify right side
    57.87x = 4,322.97
  5. Step 5: Solve for x
    x = 4,322.97/57.87
  6. Step 6: Final answer
    x = 74.70

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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.