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Finding the Fourth Proportional to 163.62, 226.08 and 120.24

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Solution

The fourth proportional to 163.62, 226.08 and 120.24 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.62 : 226.08 = 120.24 : x
  2. Step 2: Convert to fraction form
    163.62/226.08 = 120.24/x
  3. Step 3: Cross multiply
    163.62x = 226.08 × 120.24
  4. Step 4: Simplify right side
    163.62x = 27,183.86
  5. Step 5: Solve for x
    x = 27,183.86/163.62
  6. Step 6: Final answer
    x = 166.14

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Why These Related Problems?

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