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Finding the Fourth Proportional to 110.26, 166.29 and 109.11

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Solution

The fourth proportional to 110.26, 166.29 and 109.11 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.26 : 166.29 = 109.11 : x
  2. Step 2: Convert to fraction form
    110.26/166.29 = 109.11/x
  3. Step 3: Cross multiply
    110.26x = 166.29 × 109.11
  4. Step 4: Simplify right side
    110.26x = 18,143.90
  5. Step 5: Solve for x
    x = 18,143.90/110.26
  6. Step 6: Final answer
    x = 164.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.