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Finding the Fourth Proportional to 143.11, 197.49 and 77.62

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Solution

The fourth proportional to 143.11, 197.49 and 77.62 is: 107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.11 : 197.49 = 77.62 : x
  2. Step 2: Convert to fraction form
    143.11/197.49 = 77.62/x
  3. Step 3: Cross multiply
    143.11x = 197.49 × 77.62
  4. Step 4: Simplify right side
    143.11x = 15,328.79
  5. Step 5: Solve for x
    x = 15,328.79/143.11
  6. Step 6: Final answer
    x = 107.11

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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.