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Finding the Fourth Proportional to 169.94, 234.46 and 120.80

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Solution

The fourth proportional to 169.94, 234.46 and 120.80 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.94 : 234.46 = 120.80 : x
  2. Step 2: Convert to fraction form
    169.94/234.46 = 120.80/x
  3. Step 3: Cross multiply
    169.94x = 234.46 × 120.80
  4. Step 4: Simplify right side
    169.94x = 28,322.77
  5. Step 5: Solve for x
    x = 28,322.77/169.94
  6. Step 6: Final answer
    x = 166.66

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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.