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Finding the Fourth Proportional to 25.38, 38.21 and 19.44

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Solution

The fourth proportional to 25.38, 38.21 and 19.44 is: 29.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.38 : 38.21 = 19.44 : x
  2. Step 2: Convert to fraction form
    25.38/38.21 = 19.44/x
  3. Step 3: Cross multiply
    25.38x = 38.21 × 19.44
  4. Step 4: Simplify right side
    25.38x = 742.71
  5. Step 5: Solve for x
    x = 742.71/25.38
  6. Step 6: Final answer
    x = 29.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.