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Finding the Fourth Proportional to 16.26, 24.36 and 7.23

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Solution

The fourth proportional to 16.26, 24.36 and 7.23 is: 10.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.26 : 24.36 = 7.23 : x
  2. Step 2: Convert to fraction form
    16.26/24.36 = 7.23/x
  3. Step 3: Cross multiply
    16.26x = 24.36 × 7.23
  4. Step 4: Simplify right side
    16.26x = 176.12
  5. Step 5: Solve for x
    x = 176.12/16.26
  6. Step 6: Final answer
    x = 10.83

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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.