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Finding the Fourth Proportional to 121.05, 167.01 and 86.09

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Solution

The fourth proportional to 121.05, 167.01 and 86.09 is: 118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.05 : 167.01 = 86.09 : x
  2. Step 2: Convert to fraction form
    121.05/167.01 = 86.09/x
  3. Step 3: Cross multiply
    121.05x = 167.01 × 86.09
  4. Step 4: Simplify right side
    121.05x = 14,377.06
  5. Step 5: Solve for x
    x = 14,377.06/121.05
  6. Step 6: Final answer
    x = 118.77

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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.