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Finding the Fourth Proportional to 143.08, 197.46 and 80.92

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Solution

The fourth proportional to 143.08, 197.46 and 80.92 is: 111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.08 : 197.46 = 80.92 : x
  2. Step 2: Convert to fraction form
    143.08/197.46 = 80.92/x
  3. Step 3: Cross multiply
    143.08x = 197.46 × 80.92
  4. Step 4: Simplify right side
    143.08x = 15,978.06
  5. Step 5: Solve for x
    x = 15,978.06/143.08
  6. Step 6: Final answer
    x = 111.67

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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.