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Finding the Fourth Proportional to 169.87, 254.78 and 109.03

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Solution

The fourth proportional to 169.87, 254.78 and 109.03 is: 163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.87 : 254.78 = 109.03 : x
  2. Step 2: Convert to fraction form
    169.87/254.78 = 109.03/x
  3. Step 3: Cross multiply
    169.87x = 254.78 × 109.03
  4. Step 4: Simplify right side
    169.87x = 27,777.39
  5. Step 5: Solve for x
    x = 27,777.39/169.87
  6. Step 6: Final answer
    x = 163.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.