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Finding the Fourth Proportional to 13.82, 20.70 and 7.07

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Solution

The fourth proportional to 13.82, 20.70 and 7.07 is: 10.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 20.70 = 7.07 : x
  2. Step 2: Convert to fraction form
    13.82/20.70 = 7.07/x
  3. Step 3: Cross multiply
    13.82x = 20.70 × 7.07
  4. Step 4: Simplify right side
    13.82x = 146.25
  5. Step 5: Solve for x
    x = 146.25/13.82
  6. Step 6: Final answer
    x = 10.59

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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.