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Finding the Fourth Proportional to 121.26, 166.65 and 116.94

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Solution

The fourth proportional to 121.26, 166.65 and 116.94 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.26 : 166.65 = 116.94 : x
  2. Step 2: Convert to fraction form
    121.26/166.65 = 116.94/x
  3. Step 3: Cross multiply
    121.26x = 166.65 × 116.94
  4. Step 4: Simplify right side
    121.26x = 19,488.05
  5. Step 5: Solve for x
    x = 19,488.05/121.26
  6. Step 6: Final answer
    x = 160.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.