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Finding the Fourth Proportional to 44.13, 66.20 and 22.75

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Solution

The fourth proportional to 44.13, 66.20 and 22.75 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.13 : 66.20 = 22.75 : x
  2. Step 2: Convert to fraction form
    44.13/66.20 = 22.75/x
  3. Step 3: Cross multiply
    44.13x = 66.20 × 22.75
  4. Step 4: Simplify right side
    44.13x = 1,506.05
  5. Step 5: Solve for x
    x = 1,506.05/44.13
  6. Step 6: Final answer
    x = 34.13

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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.