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Finding the Fourth Proportional to 41.26, 57.33 and 40.88

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Solution

The fourth proportional to 41.26, 57.33 and 40.88 is: 56.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.26 : 57.33 = 40.88 : x
  2. Step 2: Convert to fraction form
    41.26/57.33 = 40.88/x
  3. Step 3: Cross multiply
    41.26x = 57.33 × 40.88
  4. Step 4: Simplify right side
    41.26x = 2,343.65
  5. Step 5: Solve for x
    x = 2,343.65/41.26
  6. Step 6: Final answer
    x = 56.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.