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Finding the Fourth Proportional to 26, 38.96 and 19.90

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Solution

The fourth proportional to 26, 38.96 and 19.90 is: 29.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 38.96 = 19.90 : x
  2. Step 2: Convert to fraction form
    26/38.96 = 19.90/x
  3. Step 3: Cross multiply
    26x = 38.96 × 19.90
  4. Step 4: Simplify right side
    26x = 775.30
  5. Step 5: Solve for x
    x = 775.30/26
  6. Step 6: Final answer
    x = 29.82

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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.