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Finding the Fourth Proportional to 26.57, 39.83 and 19.85

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Solution

The fourth proportional to 26.57, 39.83 and 19.85 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.57 : 39.83 = 19.85 : x
  2. Step 2: Convert to fraction form
    26.57/39.83 = 19.85/x
  3. Step 3: Cross multiply
    26.57x = 39.83 × 19.85
  4. Step 4: Simplify right side
    26.57x = 790.33
  5. Step 5: Solve for x
    x = 790.33/26.57
  6. Step 6: Final answer
    x = 29.75

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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.