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Finding the Fourth Proportional to 163.96, 226.35 and 105.78

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Solution

The fourth proportional to 163.96, 226.35 and 105.78 is: 146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 226.35 = 105.78 : x
  2. Step 2: Convert to fraction form
    163.96/226.35 = 105.78/x
  3. Step 3: Cross multiply
    163.96x = 226.35 × 105.78
  4. Step 4: Simplify right side
    163.96x = 23,941.64
  5. Step 5: Solve for x
    x = 23,941.64/163.96
  6. Step 6: Final answer
    x = 146.02

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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.