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Finding the Fourth Proportional to 169.94, 255.32 and 109.19

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Solution

The fourth proportional to 169.94, 255.32 and 109.19 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.94 : 255.32 = 109.19 : x
  2. Step 2: Convert to fraction form
    169.94/255.32 = 109.19/x
  3. Step 3: Cross multiply
    169.94x = 255.32 × 109.19
  4. Step 4: Simplify right side
    169.94x = 27,878.39
  5. Step 5: Solve for x
    x = 27,878.39/169.94
  6. Step 6: Final answer
    x = 164.05

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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.