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Finding the Fourth Proportional to 17.40, 23.97 and 13.23

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Solution

The fourth proportional to 17.40, 23.97 and 13.23 is: 18.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.40 : 23.97 = 13.23 : x
  2. Step 2: Convert to fraction form
    17.40/23.97 = 13.23/x
  3. Step 3: Cross multiply
    17.40x = 23.97 × 13.23
  4. Step 4: Simplify right side
    17.40x = 317.12
  5. Step 5: Solve for x
    x = 317.12/17.40
  6. Step 6: Final answer
    x = 18.23

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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.