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Finding the Fourth Proportional to 169.94, 254.82 and 109.10

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Solution

The fourth proportional to 169.94, 254.82 and 109.10 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.94 : 254.82 = 109.10 : x
  2. Step 2: Convert to fraction form
    169.94/254.82 = 109.10/x
  3. Step 3: Cross multiply
    169.94x = 254.82 × 109.10
  4. Step 4: Simplify right side
    169.94x = 27,800.86
  5. Step 5: Solve for x
    x = 27,800.86/169.94
  6. Step 6: Final answer
    x = 163.59

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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.