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Finding the Fourth Proportional to 140.21, 193.49 and 78.04

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Solution

The fourth proportional to 140.21, 193.49 and 78.04 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.21 : 193.49 = 78.04 : x
  2. Step 2: Convert to fraction form
    140.21/193.49 = 78.04/x
  3. Step 3: Cross multiply
    140.21x = 193.49 × 78.04
  4. Step 4: Simplify right side
    140.21x = 15,100.10
  5. Step 5: Solve for x
    x = 15,100.10/140.21
  6. Step 6: Final answer
    x = 107.70

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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.