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Finding the Fourth Proportional to 121.95, 168.24 and 75.27

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Solution

The fourth proportional to 121.95, 168.24 and 75.27 is: 103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.95 : 168.24 = 75.27 : x
  2. Step 2: Convert to fraction form
    121.95/168.24 = 75.27/x
  3. Step 3: Cross multiply
    121.95x = 168.24 × 75.27
  4. Step 4: Simplify right side
    121.95x = 12,664.34
  5. Step 5: Solve for x
    x = 12,664.34/121.95
  6. Step 6: Final answer
    x = 103.85

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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.