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Finding the Fourth Proportional to 122.16, 168.63 and 80.76

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Solution

The fourth proportional to 122.16, 168.63 and 80.76 is: 111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.63 = 80.76 : x
  2. Step 2: Convert to fraction form
    122.16/168.63 = 80.76/x
  3. Step 3: Cross multiply
    122.16x = 168.63 × 80.76
  4. Step 4: Simplify right side
    122.16x = 13,618.56
  5. Step 5: Solve for x
    x = 13,618.56/122.16
  6. Step 6: Final answer
    x = 111.48

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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.