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Finding the Fourth Proportional to 140.46, 193.82 and 77.44

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Solution

The fourth proportional to 140.46, 193.82 and 77.44 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.46 : 193.82 = 77.44 : x
  2. Step 2: Convert to fraction form
    140.46/193.82 = 77.44/x
  3. Step 3: Cross multiply
    140.46x = 193.82 × 77.44
  4. Step 4: Simplify right side
    140.46x = 15,009.42
  5. Step 5: Solve for x
    x = 15,009.42/140.46
  6. Step 6: Final answer
    x = 106.86

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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.