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Finding the Fourth Proportional to 140.87, 194.19 and 94.16

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Solution

The fourth proportional to 140.87, 194.19 and 94.16 is: 129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.87 : 194.19 = 94.16 : x
  2. Step 2: Convert to fraction form
    140.87/194.19 = 94.16/x
  3. Step 3: Cross multiply
    140.87x = 194.19 × 94.16
  4. Step 4: Simplify right side
    140.87x = 18,284.93
  5. Step 5: Solve for x
    x = 18,284.93/140.87
  6. Step 6: Final answer
    x = 129.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.