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Finding the Fourth Proportional to 41.25, 61.73 and 23.13

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Solution

The fourth proportional to 41.25, 61.73 and 23.13 is: 34.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.25 : 61.73 = 23.13 : x
  2. Step 2: Convert to fraction form
    41.25/61.73 = 23.13/x
  3. Step 3: Cross multiply
    41.25x = 61.73 × 23.13
  4. Step 4: Simplify right side
    41.25x = 1,427.70
  5. Step 5: Solve for x
    x = 1,427.70/41.25
  6. Step 6: Final answer
    x = 34.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.