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Finding the Fourth Proportional to 25.88, 38.78 and 20.14

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Solution

The fourth proportional to 25.88, 38.78 and 20.14 is: 30.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.88 : 38.78 = 20.14 : x
  2. Step 2: Convert to fraction form
    25.88/38.78 = 20.14/x
  3. Step 3: Cross multiply
    25.88x = 38.78 × 20.14
  4. Step 4: Simplify right side
    25.88x = 781.18
  5. Step 5: Solve for x
    x = 781.18/25.88
  6. Step 6: Final answer
    x = 30.19

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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.