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Finding the Fourth Proportional to 28.24, 38.96 and 22.09

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Solution

The fourth proportional to 28.24, 38.96 and 22.09 is: 30.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.24 : 38.96 = 22.09 : x
  2. Step 2: Convert to fraction form
    28.24/38.96 = 22.09/x
  3. Step 3: Cross multiply
    28.24x = 38.96 × 22.09
  4. Step 4: Simplify right side
    28.24x = 860.63
  5. Step 5: Solve for x
    x = 860.63/28.24
  6. Step 6: Final answer
    x = 30.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.