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Finding the Fourth Proportional to 143.20, 197.61 and 77.70

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Solution

The fourth proportional to 143.20, 197.61 and 77.70 is: 107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.20 : 197.61 = 77.70 : x
  2. Step 2: Convert to fraction form
    143.20/197.61 = 77.70/x
  3. Step 3: Cross multiply
    143.20x = 197.61 × 77.70
  4. Step 4: Simplify right side
    143.20x = 15,354.10
  5. Step 5: Solve for x
    x = 15,354.10/143.20
  6. Step 6: Final answer
    x = 107.22

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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.