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Finding the Fourth Proportional to 118.20, 163.26 and 114.42

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Solution

The fourth proportional to 118.20, 163.26 and 114.42 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 163.26 = 114.42 : x
  2. Step 2: Convert to fraction form
    118.20/163.26 = 114.42/x
  3. Step 3: Cross multiply
    118.20x = 163.26 × 114.42
  4. Step 4: Simplify right side
    118.20x = 18,680.21
  5. Step 5: Solve for x
    x = 18,680.21/118.20
  6. Step 6: Final answer
    x = 158.04

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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.