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Finding the Fourth Proportional to 13.24, 19.82 and 12.02

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Solution

The fourth proportional to 13.24, 19.82 and 12.02 is: 17.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.24 : 19.82 = 12.02 : x
  2. Step 2: Convert to fraction form
    13.24/19.82 = 12.02/x
  3. Step 3: Cross multiply
    13.24x = 19.82 × 12.02
  4. Step 4: Simplify right side
    13.24x = 238.24
  5. Step 5: Solve for x
    x = 238.24/13.24
  6. Step 6: Final answer
    x = 17.99

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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.