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Finding the Fourth Proportional to 171.05, 235.82 and 121.91

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Solution

The fourth proportional to 171.05, 235.82 and 121.91 is: 168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.05 : 235.82 = 121.91 : x
  2. Step 2: Convert to fraction form
    171.05/235.82 = 121.91/x
  3. Step 3: Cross multiply
    171.05x = 235.82 × 121.91
  4. Step 4: Simplify right side
    171.05x = 28,747.94
  5. Step 5: Solve for x
    x = 28,747.94/171.05
  6. Step 6: Final answer
    x = 168.07

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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.