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Finding the Fourth Proportional to 53.57, 80.26 and 27.85

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Solution

The fourth proportional to 53.57, 80.26 and 27.85 is: 41.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.57 : 80.26 = 27.85 : x
  2. Step 2: Convert to fraction form
    53.57/80.26 = 27.85/x
  3. Step 3: Cross multiply
    53.57x = 80.26 × 27.85
  4. Step 4: Simplify right side
    53.57x = 2,235.24
  5. Step 5: Solve for x
    x = 2,235.24/53.57
  6. Step 6: Final answer
    x = 41.73

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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.