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Finding the Fourth Proportional to 26.30, 36.26 and 20.85

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Solution

The fourth proportional to 26.30, 36.26 and 20.85 is: 28.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.30 : 36.26 = 20.85 : x
  2. Step 2: Convert to fraction form
    26.30/36.26 = 20.85/x
  3. Step 3: Cross multiply
    26.30x = 36.26 × 20.85
  4. Step 4: Simplify right side
    26.30x = 755.86
  5. Step 5: Solve for x
    x = 755.86/26.30
  6. Step 6: Final answer
    x = 28.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.