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Finding the Fourth Proportional to 110.39, 164.79 and 109.62

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Solution

The fourth proportional to 110.39, 164.79 and 109.62 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.39 : 164.79 = 109.62 : x
  2. Step 2: Convert to fraction form
    110.39/164.79 = 109.62/x
  3. Step 3: Cross multiply
    110.39x = 164.79 × 109.62
  4. Step 4: Simplify right side
    110.39x = 18,064.28
  5. Step 5: Solve for x
    x = 18,064.28/110.39
  6. Step 6: Final answer
    x = 163.65

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