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Finding the Fourth Proportional to 170.27, 234.86 and 104.81

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Solution

The fourth proportional to 170.27, 234.86 and 104.81 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.27 : 234.86 = 104.81 : x
  2. Step 2: Convert to fraction form
    170.27/234.86 = 104.81/x
  3. Step 3: Cross multiply
    170.27x = 234.86 × 104.81
  4. Step 4: Simplify right side
    170.27x = 24,613.98
  5. Step 5: Solve for x
    x = 24,613.98/170.27
  6. Step 6: Final answer
    x = 144.56

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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.