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Finding the Fourth Proportional to 25.82, 38.75 and 20.42

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Solution

The fourth proportional to 25.82, 38.75 and 20.42 is: 30.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.82 : 38.75 = 20.42 : x
  2. Step 2: Convert to fraction form
    25.82/38.75 = 20.42/x
  3. Step 3: Cross multiply
    25.82x = 38.75 × 20.42
  4. Step 4: Simplify right side
    25.82x = 791.12
  5. Step 5: Solve for x
    x = 791.12/25.82
  6. Step 6: Final answer
    x = 30.64

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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.