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Finding the Fourth Proportional to 163.79, 225.91 and 120.14

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Solution

The fourth proportional to 163.79, 225.91 and 120.14 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.79 : 225.91 = 120.14 : x
  2. Step 2: Convert to fraction form
    163.79/225.91 = 120.14/x
  3. Step 3: Cross multiply
    163.79x = 225.91 × 120.14
  4. Step 4: Simplify right side
    163.79x = 27,140.83
  5. Step 5: Solve for x
    x = 27,140.83/163.79
  6. Step 6: Final answer
    x = 165.71

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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.