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Finding the Fourth Proportional to 143.41, 197.90 and 77.91

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Solution

The fourth proportional to 143.41, 197.90 and 77.91 is: 107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.41 : 197.90 = 77.91 : x
  2. Step 2: Convert to fraction form
    143.41/197.90 = 77.91/x
  3. Step 3: Cross multiply
    143.41x = 197.90 × 77.91
  4. Step 4: Simplify right side
    143.41x = 15,418.39
  5. Step 5: Solve for x
    x = 15,418.39/143.41
  6. Step 6: Final answer
    x = 107.51

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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.