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Finding the Fourth Proportional to 57.70, 80 and 54.46

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Solution

The fourth proportional to 57.70, 80 and 54.46 is: 75.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.70 : 80 = 54.46 : x
  2. Step 2: Convert to fraction form
    57.70/80 = 54.46/x
  3. Step 3: Cross multiply
    57.70x = 80 × 54.46
  4. Step 4: Simplify right side
    57.70x = 4,356.80
  5. Step 5: Solve for x
    x = 4,356.80/57.70
  6. Step 6: Final answer
    x = 75.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.