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Finding the Fourth Proportional to 57.12, 85.67 and 16.54

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Solution

The fourth proportional to 57.12, 85.67 and 16.54 is: 24.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 85.67 = 16.54 : x
  2. Step 2: Convert to fraction form
    57.12/85.67 = 16.54/x
  3. Step 3: Cross multiply
    57.12x = 85.67 × 16.54
  4. Step 4: Simplify right side
    57.12x = 1,416.98
  5. Step 5: Solve for x
    x = 1,416.98/57.12
  6. Step 6: Final answer
    x = 24.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.