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Finding the Fourth Proportional to 41.33, 62.04 and 22.09

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Solution

The fourth proportional to 41.33, 62.04 and 22.09 is: 33.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.33 : 62.04 = 22.09 : x
  2. Step 2: Convert to fraction form
    41.33/62.04 = 22.09/x
  3. Step 3: Cross multiply
    41.33x = 62.04 × 22.09
  4. Step 4: Simplify right side
    41.33x = 1,370.28
  5. Step 5: Solve for x
    x = 1,370.28/41.33
  6. Step 6: Final answer
    x = 33.15

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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.