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Finding the Fourth Proportional to 57.11, 85.07 and 54.66

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Solution

The fourth proportional to 57.11, 85.07 and 54.66 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.11 : 85.07 = 54.66 : x
  2. Step 2: Convert to fraction form
    57.11/85.07 = 54.66/x
  3. Step 3: Cross multiply
    57.11x = 85.07 × 54.66
  4. Step 4: Simplify right side
    57.11x = 4,649.65
  5. Step 5: Solve for x
    x = 4,649.65/57.11
  6. Step 6: Final answer
    x = 81.42

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Why These Related Problems?

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