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Finding the Fourth Proportional to 41.91, 57.78 and 33.71

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Solution

The fourth proportional to 41.91, 57.78 and 33.71 is: 46.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.91 : 57.78 = 33.71 : x
  2. Step 2: Convert to fraction form
    41.91/57.78 = 33.71/x
  3. Step 3: Cross multiply
    41.91x = 57.78 × 33.71
  4. Step 4: Simplify right side
    41.91x = 1,947.47
  5. Step 5: Solve for x
    x = 1,947.47/41.91
  6. Step 6: Final answer
    x = 46.47

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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.