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Finding the Fourth Proportional to 169.91, 234.29 and 107.67

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Solution

The fourth proportional to 169.91, 234.29 and 107.67 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.91 : 234.29 = 107.67 : x
  2. Step 2: Convert to fraction form
    169.91/234.29 = 107.67/x
  3. Step 3: Cross multiply
    169.91x = 234.29 × 107.67
  4. Step 4: Simplify right side
    169.91x = 25,224.29
  5. Step 5: Solve for x
    x = 25,224.29/169.91
  6. Step 6: Final answer
    x = 148.46

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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.