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Finding the Fourth Proportional to 41.81, 57.72 and 34.02

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Solution

The fourth proportional to 41.81, 57.72 and 34.02 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.81 : 57.72 = 34.02 : x
  2. Step 2: Convert to fraction form
    41.81/57.72 = 34.02/x
  3. Step 3: Cross multiply
    41.81x = 57.72 × 34.02
  4. Step 4: Simplify right side
    41.81x = 1,963.63
  5. Step 5: Solve for x
    x = 1,963.63/41.81
  6. Step 6: Final answer
    x = 46.97

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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.