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Finding the Fourth Proportional to 16.26, 24.41 and 7.70

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Solution

The fourth proportional to 16.26, 24.41 and 7.70 is: 11.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.26 : 24.41 = 7.70 : x
  2. Step 2: Convert to fraction form
    16.26/24.41 = 7.70/x
  3. Step 3: Cross multiply
    16.26x = 24.41 × 7.70
  4. Step 4: Simplify right side
    16.26x = 187.98
  5. Step 5: Solve for x
    x = 187.98/16.26
  6. Step 6: Final answer
    x = 11.56

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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.