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Finding the Fourth Proportional to 17.26, 23.77 and 16.38

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Solution

The fourth proportional to 17.26, 23.77 and 16.38 is: 22.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.26 : 23.77 = 16.38 : x
  2. Step 2: Convert to fraction form
    17.26/23.77 = 16.38/x
  3. Step 3: Cross multiply
    17.26x = 23.77 × 16.38
  4. Step 4: Simplify right side
    17.26x = 389.35
  5. Step 5: Solve for x
    x = 389.35/17.26
  6. Step 6: Final answer
    x = 22.56

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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.