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Finding the Fourth Proportional to 57, 84.93 and 54.24

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Solution

The fourth proportional to 57, 84.93 and 54.24 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 84.93 = 54.24 : x
  2. Step 2: Convert to fraction form
    57/84.93 = 54.24/x
  3. Step 3: Cross multiply
    57x = 84.93 × 54.24
  4. Step 4: Simplify right side
    57x = 4,606.60
  5. Step 5: Solve for x
    x = 4,606.60/57
  6. Step 6: Final answer
    x = 80.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.