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Finding the Fourth Proportional to 170.09, 254.91 and 109.12

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Solution

The fourth proportional to 170.09, 254.91 and 109.12 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.09 : 254.91 = 109.12 : x
  2. Step 2: Convert to fraction form
    170.09/254.91 = 109.12/x
  3. Step 3: Cross multiply
    170.09x = 254.91 × 109.12
  4. Step 4: Simplify right side
    170.09x = 27,815.78
  5. Step 5: Solve for x
    x = 27,815.78/170.09
  6. Step 6: Final answer
    x = 163.54

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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.