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Finding the Fourth Proportional to 169.82, 234.44 and 114.84

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Solution

The fourth proportional to 169.82, 234.44 and 114.84 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.82 : 234.44 = 114.84 : x
  2. Step 2: Convert to fraction form
    169.82/234.44 = 114.84/x
  3. Step 3: Cross multiply
    169.82x = 234.44 × 114.84
  4. Step 4: Simplify right side
    169.82x = 26,922.52
  5. Step 5: Solve for x
    x = 26,922.52/169.82
  6. Step 6: Final answer
    x = 158.54

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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.