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Finding the Fourth Proportional to 121.06, 166.86 and 91.90

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Solution

The fourth proportional to 121.06, 166.86 and 91.90 is: 126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.06 : 166.86 = 91.90 : x
  2. Step 2: Convert to fraction form
    121.06/166.86 = 91.90/x
  3. Step 3: Cross multiply
    121.06x = 166.86 × 91.90
  4. Step 4: Simplify right side
    121.06x = 15,334.43
  5. Step 5: Solve for x
    x = 15,334.43/121.06
  6. Step 6: Final answer
    x = 126.67

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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.