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Finding the Fourth Proportional to 121.82, 168.12 and 78.12

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Solution

The fourth proportional to 121.82, 168.12 and 78.12 is: 107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.82 : 168.12 = 78.12 : x
  2. Step 2: Convert to fraction form
    121.82/168.12 = 78.12/x
  3. Step 3: Cross multiply
    121.82x = 168.12 × 78.12
  4. Step 4: Simplify right side
    121.82x = 13,133.53
  5. Step 5: Solve for x
    x = 13,133.53/121.82
  6. Step 6: Final answer
    x = 107.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.