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Finding the Fourth Proportional to 170.25, 234.87 and 108.15

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Solution

The fourth proportional to 170.25, 234.87 and 108.15 is: 149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.25 : 234.87 = 108.15 : x
  2. Step 2: Convert to fraction form
    170.25/234.87 = 108.15/x
  3. Step 3: Cross multiply
    170.25x = 234.87 × 108.15
  4. Step 4: Simplify right side
    170.25x = 25,401.19
  5. Step 5: Solve for x
    x = 25,401.19/170.25
  6. Step 6: Final answer
    x = 149.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.