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Finding the Fourth Proportional to 107.67, 161.11 and 62.06

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Solution

The fourth proportional to 107.67, 161.11 and 62.06 is: 92.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.67 : 161.11 = 62.06 : x
  2. Step 2: Convert to fraction form
    107.67/161.11 = 62.06/x
  3. Step 3: Cross multiply
    107.67x = 161.11 × 62.06
  4. Step 4: Simplify right side
    107.67x = 9,998.49
  5. Step 5: Solve for x
    x = 9,998.49/107.67
  6. Step 6: Final answer
    x = 92.86

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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.