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Finding the Fourth Proportional to 121.26, 167.06 and 84.30

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Solution

The fourth proportional to 121.26, 167.06 and 84.30 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.26 : 167.06 = 84.30 : x
  2. Step 2: Convert to fraction form
    121.26/167.06 = 84.30/x
  3. Step 3: Cross multiply
    121.26x = 167.06 × 84.30
  4. Step 4: Simplify right side
    121.26x = 14,083.16
  5. Step 5: Solve for x
    x = 14,083.16/121.26
  6. Step 6: Final answer
    x = 116.14

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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.