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Finding the Fourth Proportional to 170.26, 255.23 and 74.02

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Solution

The fourth proportional to 170.26, 255.23 and 74.02 is: 110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 255.23 = 74.02 : x
  2. Step 2: Convert to fraction form
    170.26/255.23 = 74.02/x
  3. Step 3: Cross multiply
    170.26x = 255.23 × 74.02
  4. Step 4: Simplify right side
    170.26x = 18,890.85
  5. Step 5: Solve for x
    x = 18,890.85/170.26
  6. Step 6: Final answer
    x = 110.96

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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.