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Finding the Fourth Proportional to 163.68, 225.64 and 120.12

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Solution

The fourth proportional to 163.68, 225.64 and 120.12 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.68 : 225.64 = 120.12 : x
  2. Step 2: Convert to fraction form
    163.68/225.64 = 120.12/x
  3. Step 3: Cross multiply
    163.68x = 225.64 × 120.12
  4. Step 4: Simplify right side
    163.68x = 27,103.88
  5. Step 5: Solve for x
    x = 27,103.88/163.68
  6. Step 6: Final answer
    x = 165.59

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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.