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Finding the Fourth Proportional to 169.82, 234.46 and 111.72

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Solution

The fourth proportional to 169.82, 234.46 and 111.72 is: 154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.82 : 234.46 = 111.72 : x
  2. Step 2: Convert to fraction form
    169.82/234.46 = 111.72/x
  3. Step 3: Cross multiply
    169.82x = 234.46 × 111.72
  4. Step 4: Simplify right side
    169.82x = 26,193.87
  5. Step 5: Solve for x
    x = 26,193.87/169.82
  6. Step 6: Final answer
    x = 154.24

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