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Finding the Fourth Proportional to 26.07, 39.12 and 13.23

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Solution

The fourth proportional to 26.07, 39.12 and 13.23 is: 19.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.07 : 39.12 = 13.23 : x
  2. Step 2: Convert to fraction form
    26.07/39.12 = 13.23/x
  3. Step 3: Cross multiply
    26.07x = 39.12 × 13.23
  4. Step 4: Simplify right side
    26.07x = 517.56
  5. Step 5: Solve for x
    x = 517.56/26.07
  6. Step 6: Final answer
    x = 19.85

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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.