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Finding the Fourth Proportional to 170.44, 255.05 and 105.39

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Solution

The fourth proportional to 170.44, 255.05 and 105.39 is: 157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 255.05 = 105.39 : x
  2. Step 2: Convert to fraction form
    170.44/255.05 = 105.39/x
  3. Step 3: Cross multiply
    170.44x = 255.05 × 105.39
  4. Step 4: Simplify right side
    170.44x = 26,878.31
  5. Step 5: Solve for x
    x = 26,878.31/170.44
  6. Step 6: Final answer
    x = 157.70

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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.