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Finding the Fourth Proportional to 122.28, 168.72 and 78.04

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Solution

The fourth proportional to 122.28, 168.72 and 78.04 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.28 : 168.72 = 78.04 : x
  2. Step 2: Convert to fraction form
    122.28/168.72 = 78.04/x
  3. Step 3: Cross multiply
    122.28x = 168.72 × 78.04
  4. Step 4: Simplify right side
    122.28x = 13,166.19
  5. Step 5: Solve for x
    x = 13,166.19/122.28
  6. Step 6: Final answer
    x = 107.67

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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.