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Finding the Fourth Proportional to 94.14, 140.94 and 86.58

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Solution

The fourth proportional to 94.14, 140.94 and 86.58 is: 129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.14 : 140.94 = 86.58 : x
  2. Step 2: Convert to fraction form
    94.14/140.94 = 86.58/x
  3. Step 3: Cross multiply
    94.14x = 140.94 × 86.58
  4. Step 4: Simplify right side
    94.14x = 12,202.59
  5. Step 5: Solve for x
    x = 12,202.59/94.14
  6. Step 6: Final answer
    x = 129.62

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Why These Related Problems?

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