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Finding the Fourth Proportional to 142.86, 197.13 and 80.69

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Solution

The fourth proportional to 142.86, 197.13 and 80.69 is: 111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.86 : 197.13 = 80.69 : x
  2. Step 2: Convert to fraction form
    142.86/197.13 = 80.69/x
  3. Step 3: Cross multiply
    142.86x = 197.13 × 80.69
  4. Step 4: Simplify right side
    142.86x = 15,905.87
  5. Step 5: Solve for x
    x = 15,905.87/142.86
  6. Step 6: Final answer
    x = 111.34

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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.