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Finding the Fourth Proportional to 122.35, 168.94 and 113.14

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Solution

The fourth proportional to 122.35, 168.94 and 113.14 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.35 : 168.94 = 113.14 : x
  2. Step 2: Convert to fraction form
    122.35/168.94 = 113.14/x
  3. Step 3: Cross multiply
    122.35x = 168.94 × 113.14
  4. Step 4: Simplify right side
    122.35x = 19,113.87
  5. Step 5: Solve for x
    x = 19,113.87/122.35
  6. Step 6: Final answer
    x = 156.22

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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.