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Finding the Fourth Proportional to 110.67, 166.31 and 83.94

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Solution

The fourth proportional to 110.67, 166.31 and 83.94 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.67 : 166.31 = 83.94 : x
  2. Step 2: Convert to fraction form
    110.67/166.31 = 83.94/x
  3. Step 3: Cross multiply
    110.67x = 166.31 × 83.94
  4. Step 4: Simplify right side
    110.67x = 13,960.06
  5. Step 5: Solve for x
    x = 13,960.06/110.67
  6. Step 6: Final answer
    x = 126.14

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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.