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Finding the Fourth Proportional to 163.81, 226.16 and 101.71

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Solution

The fourth proportional to 163.81, 226.16 and 101.71 is: 140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.81 : 226.16 = 101.71 : x
  2. Step 2: Convert to fraction form
    163.81/226.16 = 101.71/x
  3. Step 3: Cross multiply
    163.81x = 226.16 × 101.71
  4. Step 4: Simplify right side
    163.81x = 23,001.60
  5. Step 5: Solve for x
    x = 23,001.60/163.81
  6. Step 6: Final answer
    x = 140.42

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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.