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Finding the Fourth Proportional to 118.09, 163.11 and 85.29

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Solution

The fourth proportional to 118.09, 163.11 and 85.29 is: 117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.09 : 163.11 = 85.29 : x
  2. Step 2: Convert to fraction form
    118.09/163.11 = 85.29/x
  3. Step 3: Cross multiply
    118.09x = 163.11 × 85.29
  4. Step 4: Simplify right side
    118.09x = 13,911.65
  5. Step 5: Solve for x
    x = 13,911.65/118.09
  6. Step 6: Final answer
    x = 117.81

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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.