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Finding the Fourth Proportional to 140.37, 193.69 and 78.19

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Solution

The fourth proportional to 140.37, 193.69 and 78.19 is: 107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.37 : 193.69 = 78.19 : x
  2. Step 2: Convert to fraction form
    140.37/193.69 = 78.19/x
  3. Step 3: Cross multiply
    140.37x = 193.69 × 78.19
  4. Step 4: Simplify right side
    140.37x = 15,144.61
  5. Step 5: Solve for x
    x = 15,144.61/140.37
  6. Step 6: Final answer
    x = 107.89

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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.