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Finding the Fourth Proportional to 111.51, 166.86 and 108

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Solution

The fourth proportional to 111.51, 166.86 and 108 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.51 : 166.86 = 108 : x
  2. Step 2: Convert to fraction form
    111.51/166.86 = 108/x
  3. Step 3: Cross multiply
    111.51x = 166.86 × 108
  4. Step 4: Simplify right side
    111.51x = 18,020.88
  5. Step 5: Solve for x
    x = 18,020.88/111.51
  6. Step 6: Final answer
    x = 161.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.