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Finding the Fourth Proportional to 41.40, 57.09 and 33.66

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Solution

The fourth proportional to 41.40, 57.09 and 33.66 is: 46.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 57.09 = 33.66 : x
  2. Step 2: Convert to fraction form
    41.40/57.09 = 33.66/x
  3. Step 3: Cross multiply
    41.40x = 57.09 × 33.66
  4. Step 4: Simplify right side
    41.40x = 1,921.65
  5. Step 5: Solve for x
    x = 1,921.65/41.40
  6. Step 6: Final answer
    x = 46.42

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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.