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Finding the Fourth Proportional to 107.82, 161.70 and 82.26

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Solution

The fourth proportional to 107.82, 161.70 and 82.26 is: 123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 161.70 = 82.26 : x
  2. Step 2: Convert to fraction form
    107.82/161.70 = 82.26/x
  3. Step 3: Cross multiply
    107.82x = 161.70 × 82.26
  4. Step 4: Simplify right side
    107.82x = 13,301.44
  5. Step 5: Solve for x
    x = 13,301.44/107.82
  6. Step 6: Final answer
    x = 123.37

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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.