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Finding the Fourth Proportional to 41.80, 57.52 and 36.96

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Solution

The fourth proportional to 41.80, 57.52 and 36.96 is: 50.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.80 : 57.52 = 36.96 : x
  2. Step 2: Convert to fraction form
    41.80/57.52 = 36.96/x
  3. Step 3: Cross multiply
    41.80x = 57.52 × 36.96
  4. Step 4: Simplify right side
    41.80x = 2,125.94
  5. Step 5: Solve for x
    x = 2,125.94/41.80
  6. Step 6: Final answer
    x = 50.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.