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Finding the Fourth Proportional to 41.67, 57.80 and 40.05

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Solution

The fourth proportional to 41.67, 57.80 and 40.05 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.67 : 57.80 = 40.05 : x
  2. Step 2: Convert to fraction form
    41.67/57.80 = 40.05/x
  3. Step 3: Cross multiply
    41.67x = 57.80 × 40.05
  4. Step 4: Simplify right side
    41.67x = 2,314.99
  5. Step 5: Solve for x
    x = 2,314.99/41.67
  6. Step 6: Final answer
    x = 55.56

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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.