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Finding the Fourth Proportional to 110.68, 164.96 and 107.44

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Solution

The fourth proportional to 110.68, 164.96 and 107.44 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.68 : 164.96 = 107.44 : x
  2. Step 2: Convert to fraction form
    110.68/164.96 = 107.44/x
  3. Step 3: Cross multiply
    110.68x = 164.96 × 107.44
  4. Step 4: Simplify right side
    110.68x = 17,723.30
  5. Step 5: Solve for x
    x = 17,723.30/110.68
  6. Step 6: Final answer
    x = 160.13

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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.