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Finding the Fourth Proportional to 17.28, 23.82 and 13.18

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Solution

The fourth proportional to 17.28, 23.82 and 13.18 is: 18.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.28 : 23.82 = 13.18 : x
  2. Step 2: Convert to fraction form
    17.28/23.82 = 13.18/x
  3. Step 3: Cross multiply
    17.28x = 23.82 × 13.18
  4. Step 4: Simplify right side
    17.28x = 313.95
  5. Step 5: Solve for x
    x = 313.95/17.28
  6. Step 6: Final answer
    x = 18.17

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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.