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Finding the Fourth Proportional to 170.09, 255.14 and 82.14

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Solution

The fourth proportional to 170.09, 255.14 and 82.14 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.09 : 255.14 = 82.14 : x
  2. Step 2: Convert to fraction form
    170.09/255.14 = 82.14/x
  3. Step 3: Cross multiply
    170.09x = 255.14 × 82.14
  4. Step 4: Simplify right side
    170.09x = 20,957.58
  5. Step 5: Solve for x
    x = 20,957.58/170.09
  6. Step 6: Final answer
    x = 123.21

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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.