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Finding the Fourth Proportional to 57.25, 85.87 and 16.66

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Solution

The fourth proportional to 57.25, 85.87 and 16.66 is: 24.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.25 : 85.87 = 16.66 : x
  2. Step 2: Convert to fraction form
    57.25/85.87 = 16.66/x
  3. Step 3: Cross multiply
    57.25x = 85.87 × 16.66
  4. Step 4: Simplify right side
    57.25x = 1,430.59
  5. Step 5: Solve for x
    x = 1,430.59/57.25
  6. Step 6: Final answer
    x = 24.99

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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.