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Finding the Fourth Proportional to 143.05, 197.41 and 77.55

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Solution

The fourth proportional to 143.05, 197.41 and 77.55 is: 107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.05 : 197.41 = 77.55 : x
  2. Step 2: Convert to fraction form
    143.05/197.41 = 77.55/x
  3. Step 3: Cross multiply
    143.05x = 197.41 × 77.55
  4. Step 4: Simplify right side
    143.05x = 15,309.10
  5. Step 5: Solve for x
    x = 15,309.10/143.05
  6. Step 6: Final answer
    x = 107.02

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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.