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Finding the Fourth Proportional to 140.58, 194.00 and 78.42

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Solution

The fourth proportional to 140.58, 194.00 and 78.42 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.58 : 194.00 = 78.42 : x
  2. Step 2: Convert to fraction form
    140.58/194.00 = 78.42/x
  3. Step 3: Cross multiply
    140.58x = 194.00 × 78.42
  4. Step 4: Simplify right side
    140.58x = 15,213.09
  5. Step 5: Solve for x
    x = 15,213.09/140.58
  6. Step 6: Final answer
    x = 108.22

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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.