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Finding the Fourth Proportional to 44.22, 66.31 and 20.19

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Solution

The fourth proportional to 44.22, 66.31 and 20.19 is: 30.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.22 : 66.31 = 20.19 : x
  2. Step 2: Convert to fraction form
    44.22/66.31 = 20.19/x
  3. Step 3: Cross multiply
    44.22x = 66.31 × 20.19
  4. Step 4: Simplify right side
    44.22x = 1,338.75
  5. Step 5: Solve for x
    x = 1,338.75/44.22
  6. Step 6: Final answer
    x = 30.27

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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.