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Finding the Fourth Proportional to 121.80, 168.08 and 78.16

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Solution

The fourth proportional to 121.80, 168.08 and 78.16 is: 107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.80 : 168.08 = 78.16 : x
  2. Step 2: Convert to fraction form
    121.80/168.08 = 78.16/x
  3. Step 3: Cross multiply
    121.80x = 168.08 × 78.16
  4. Step 4: Simplify right side
    121.80x = 13,137.13
  5. Step 5: Solve for x
    x = 13,137.13/121.80
  6. Step 6: Final answer
    x = 107.86

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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.