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Finding the Fourth Proportional to 140.77, 194.25 and 104.08

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Solution

The fourth proportional to 140.77, 194.25 and 104.08 is: 143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.77 : 194.25 = 104.08 : x
  2. Step 2: Convert to fraction form
    140.77/194.25 = 104.08/x
  3. Step 3: Cross multiply
    140.77x = 194.25 × 104.08
  4. Step 4: Simplify right side
    140.77x = 20,217.54
  5. Step 5: Solve for x
    x = 20,217.54/140.77
  6. Step 6: Final answer
    x = 143.62

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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.