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Finding the Fourth Proportional to 170.67, 255.78 and 93.69

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Solution

The fourth proportional to 170.67, 255.78 and 93.69 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.67 : 255.78 = 93.69 : x
  2. Step 2: Convert to fraction form
    170.67/255.78 = 93.69/x
  3. Step 3: Cross multiply
    170.67x = 255.78 × 93.69
  4. Step 4: Simplify right side
    170.67x = 23,964.03
  5. Step 5: Solve for x
    x = 23,964.03/170.67
  6. Step 6: Final answer
    x = 140.41

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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.