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Finding the Fourth Proportional to 25.89, 38.85 and 13.87

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Solution

The fourth proportional to 25.89, 38.85 and 13.87 is: 20.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.89 : 38.85 = 13.87 : x
  2. Step 2: Convert to fraction form
    25.89/38.85 = 13.87/x
  3. Step 3: Cross multiply
    25.89x = 38.85 × 13.87
  4. Step 4: Simplify right side
    25.89x = 538.85
  5. Step 5: Solve for x
    x = 538.85/25.89
  6. Step 6: Final answer
    x = 20.81

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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.