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Finding the Fourth Proportional to 22.82, 31.49 and 13.12

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Solution

The fourth proportional to 22.82, 31.49 and 13.12 is: 18.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.82 : 31.49 = 13.12 : x
  2. Step 2: Convert to fraction form
    22.82/31.49 = 13.12/x
  3. Step 3: Cross multiply
    22.82x = 31.49 × 13.12
  4. Step 4: Simplify right side
    22.82x = 413.05
  5. Step 5: Solve for x
    x = 413.05/22.82
  6. Step 6: Final answer
    x = 18.10

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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.