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Finding the Fourth Proportional to 111.71, 166.32 and 107.73

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Solution

The fourth proportional to 111.71, 166.32 and 107.73 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.71 : 166.32 = 107.73 : x
  2. Step 2: Convert to fraction form
    111.71/166.32 = 107.73/x
  3. Step 3: Cross multiply
    111.71x = 166.32 × 107.73
  4. Step 4: Simplify right side
    111.71x = 17,917.65
  5. Step 5: Solve for x
    x = 17,917.65/111.71
  6. Step 6: Final answer
    x = 160.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.