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Finding the Fourth Proportional to 111.78, 168.28 and 75.94

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Solution

The fourth proportional to 111.78, 168.28 and 75.94 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 168.28 = 75.94 : x
  2. Step 2: Convert to fraction form
    111.78/168.28 = 75.94/x
  3. Step 3: Cross multiply
    111.78x = 168.28 × 75.94
  4. Step 4: Simplify right side
    111.78x = 12,778.57
  5. Step 5: Solve for x
    x = 12,778.57/111.78
  6. Step 6: Final answer
    x = 114.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.