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Finding the Fourth Proportional to 170.97, 256.23 and 79.62

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Solution

The fourth proportional to 170.97, 256.23 and 79.62 is: 119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.97 : 256.23 = 79.62 : x
  2. Step 2: Convert to fraction form
    170.97/256.23 = 79.62/x
  3. Step 3: Cross multiply
    170.97x = 256.23 × 79.62
  4. Step 4: Simplify right side
    170.97x = 20,401.03
  5. Step 5: Solve for x
    x = 20,401.03/170.97
  6. Step 6: Final answer
    x = 119.33

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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.