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Finding the Fourth Proportional to 110.26, 164.57 and 108.46

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Solution

The fourth proportional to 110.26, 164.57 and 108.46 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.26 : 164.57 = 108.46 : x
  2. Step 2: Convert to fraction form
    110.26/164.57 = 108.46/x
  3. Step 3: Cross multiply
    110.26x = 164.57 × 108.46
  4. Step 4: Simplify right side
    110.26x = 17,849.26
  5. Step 5: Solve for x
    x = 17,849.26/110.26
  6. Step 6: Final answer
    x = 161.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.