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Finding the Fourth Proportional to 140.04, 193.23 and 77.87

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Solution

The fourth proportional to 140.04, 193.23 and 77.87 is: 107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.04 : 193.23 = 77.87 : x
  2. Step 2: Convert to fraction form
    140.04/193.23 = 77.87/x
  3. Step 3: Cross multiply
    140.04x = 193.23 × 77.87
  4. Step 4: Simplify right side
    140.04x = 15,045.85
  5. Step 5: Solve for x
    x = 15,045.85/140.04
  6. Step 6: Final answer
    x = 107.44

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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.