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Finding the Fourth Proportional to 163.97, 226.28 and 94.07

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Solution

The fourth proportional to 163.97, 226.28 and 94.07 is: 129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.97 : 226.28 = 94.07 : x
  2. Step 2: Convert to fraction form
    163.97/226.28 = 94.07/x
  3. Step 3: Cross multiply
    163.97x = 226.28 × 94.07
  4. Step 4: Simplify right side
    163.97x = 21,285.26
  5. Step 5: Solve for x
    x = 21,285.26/163.97
  6. Step 6: Final answer
    x = 129.81

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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.