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Finding the Fourth Proportional to 118.49, 163.37 and 109.22

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Solution

The fourth proportional to 118.49, 163.37 and 109.22 is: 150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.49 : 163.37 = 109.22 : x
  2. Step 2: Convert to fraction form
    118.49/163.37 = 109.22/x
  3. Step 3: Cross multiply
    118.49x = 163.37 × 109.22
  4. Step 4: Simplify right side
    118.49x = 17,842.73
  5. Step 5: Solve for x
    x = 17,842.73/118.49
  6. Step 6: Final answer
    x = 150.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.