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Finding the Fourth Proportional to 140.95, 194.54 and 82.73

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Solution

The fourth proportional to 140.95, 194.54 and 82.73 is: 114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.95 : 194.54 = 82.73 : x
  2. Step 2: Convert to fraction form
    140.95/194.54 = 82.73/x
  3. Step 3: Cross multiply
    140.95x = 194.54 × 82.73
  4. Step 4: Simplify right side
    140.95x = 16,094.29
  5. Step 5: Solve for x
    x = 16,094.29/140.95
  6. Step 6: Final answer
    x = 114.18

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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.