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Finding the Fourth Proportional to 118.30, 163.10 and 111.62

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Solution

The fourth proportional to 118.30, 163.10 and 111.62 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.30 : 163.10 = 111.62 : x
  2. Step 2: Convert to fraction form
    118.30/163.10 = 111.62/x
  3. Step 3: Cross multiply
    118.30x = 163.10 × 111.62
  4. Step 4: Simplify right side
    118.30x = 18,205.22
  5. Step 5: Solve for x
    x = 18,205.22/118.30
  6. Step 6: Final answer
    x = 153.89

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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.