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Finding the Fourth Proportional to 29.22, 43.82 and 20.22

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Solution

The fourth proportional to 29.22, 43.82 and 20.22 is: 30.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.22 : 43.82 = 20.22 : x
  2. Step 2: Convert to fraction form
    29.22/43.82 = 20.22/x
  3. Step 3: Cross multiply
    29.22x = 43.82 × 20.22
  4. Step 4: Simplify right side
    29.22x = 885.94
  5. Step 5: Solve for x
    x = 885.94/29.22
  6. Step 6: Final answer
    x = 30.32

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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.