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Finding the Fourth Proportional to 110.97, 166.86 and 83.97

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Solution

The fourth proportional to 110.97, 166.86 and 83.97 is: 126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 166.86 = 83.97 : x
  2. Step 2: Convert to fraction form
    110.97/166.86 = 83.97/x
  3. Step 3: Cross multiply
    110.97x = 166.86 × 83.97
  4. Step 4: Simplify right side
    110.97x = 14,011.23
  5. Step 5: Solve for x
    x = 14,011.23/110.97
  6. Step 6: Final answer
    x = 126.26

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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.