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Finding the Fourth Proportional to 118.94, 178.43 and 85.87

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Solution

The fourth proportional to 118.94, 178.43 and 85.87 is: 128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 178.43 = 85.87 : x
  2. Step 2: Convert to fraction form
    118.94/178.43 = 85.87/x
  3. Step 3: Cross multiply
    118.94x = 178.43 × 85.87
  4. Step 4: Simplify right side
    118.94x = 15,321.78
  5. Step 5: Solve for x
    x = 15,321.78/118.94
  6. Step 6: Final answer
    x = 128.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.