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Finding the Fourth Proportional to 121.26, 167.40 and 74.66

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Solution

The fourth proportional to 121.26, 167.40 and 74.66 is: 103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.26 : 167.40 = 74.66 : x
  2. Step 2: Convert to fraction form
    121.26/167.40 = 74.66/x
  3. Step 3: Cross multiply
    121.26x = 167.40 × 74.66
  4. Step 4: Simplify right side
    121.26x = 12,497.25
  5. Step 5: Solve for x
    x = 12,497.25/121.26
  6. Step 6: Final answer
    x = 103.06

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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.