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Finding the Fourth Proportional to 121.07, 167.08 and 84.25

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Solution

The fourth proportional to 121.07, 167.08 and 84.25 is: 116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.07 : 167.08 = 84.25 : x
  2. Step 2: Convert to fraction form
    121.07/167.08 = 84.25/x
  3. Step 3: Cross multiply
    121.07x = 167.08 × 84.25
  4. Step 4: Simplify right side
    121.07x = 14,076.65
  5. Step 5: Solve for x
    x = 14,076.65/121.07
  6. Step 6: Final answer
    x = 116.27

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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.