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Finding the Fourth Proportional to 22.36, 30.82 and 13.72

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Solution

The fourth proportional to 22.36, 30.82 and 13.72 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.36 : 30.82 = 13.72 : x
  2. Step 2: Convert to fraction form
    22.36/30.82 = 13.72/x
  3. Step 3: Cross multiply
    22.36x = 30.82 × 13.72
  4. Step 4: Simplify right side
    22.36x = 422.85
  5. Step 5: Solve for x
    x = 422.85/22.36
  6. Step 6: Final answer
    x = 18.91

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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.