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Finding the Fourth Proportional to 17.38, 24.00 and 16.23

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Solution

The fourth proportional to 17.38, 24.00 and 16.23 is: 22.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.38 : 24.00 = 16.23 : x
  2. Step 2: Convert to fraction form
    17.38/24.00 = 16.23/x
  3. Step 3: Cross multiply
    17.38x = 24.00 × 16.23
  4. Step 4: Simplify right side
    17.38x = 389.59
  5. Step 5: Solve for x
    x = 389.59/17.38
  6. Step 6: Final answer
    x = 22.41

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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.