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Finding the Fourth Proportional to 25.88, 38.82 and 6.88

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Solution

The fourth proportional to 25.88, 38.82 and 6.88 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.88 : 38.82 = 6.88 : x
  2. Step 2: Convert to fraction form
    25.88/38.82 = 6.88/x
  3. Step 3: Cross multiply
    25.88x = 38.82 × 6.88
  4. Step 4: Simplify right side
    25.88x = 266.85
  5. Step 5: Solve for x
    x = 266.85/25.88
  6. Step 6: Final answer
    x = 10.31

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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.