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Finding the Fourth Proportional to 57.07, 86.02 and 54.91

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Solution

The fourth proportional to 57.07, 86.02 and 54.91 is: 82.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 86.02 = 54.91 : x
  2. Step 2: Convert to fraction form
    57.07/86.02 = 54.91/x
  3. Step 3: Cross multiply
    57.07x = 86.02 × 54.91
  4. Step 4: Simplify right side
    57.07x = 4,723.36
  5. Step 5: Solve for x
    x = 4,723.36/57.07
  6. Step 6: Final answer
    x = 82.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.