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Finding the Fourth Proportional to 140, 193.18 and 77.82

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Solution

The fourth proportional to 140, 193.18 and 77.82 is: 107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140 : 193.18 = 77.82 : x
  2. Step 2: Convert to fraction form
    140/193.18 = 77.82/x
  3. Step 3: Cross multiply
    140x = 193.18 × 77.82
  4. Step 4: Simplify right side
    140x = 15,033.27
  5. Step 5: Solve for x
    x = 15,033.27/140
  6. Step 6: Final answer
    x = 107.38

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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.