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Finding the Fourth Proportional to 94.60, 131.23 and 85.96

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Solution

The fourth proportional to 94.60, 131.23 and 85.96 is: 119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.60 : 131.23 = 85.96 : x
  2. Step 2: Convert to fraction form
    94.60/131.23 = 85.96/x
  3. Step 3: Cross multiply
    94.60x = 131.23 × 85.96
  4. Step 4: Simplify right side
    94.60x = 11,280.53
  5. Step 5: Solve for x
    x = 11,280.53/94.60
  6. Step 6: Final answer
    x = 119.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.