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Finding the Fourth Proportional to 121.81, 168 and 72.67

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Solution

The fourth proportional to 121.81, 168 and 72.67 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.81 : 168 = 72.67 : x
  2. Step 2: Convert to fraction form
    121.81/168 = 72.67/x
  3. Step 3: Cross multiply
    121.81x = 168 × 72.67
  4. Step 4: Simplify right side
    121.81x = 12,208.56
  5. Step 5: Solve for x
    x = 12,208.56/121.81
  6. Step 6: Final answer
    x = 100.23

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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.