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Finding the Fourth Proportional to 103.20, 142.09 and 86.79

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Solution

The fourth proportional to 103.20, 142.09 and 86.79 is: 119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 142.09 = 86.79 : x
  2. Step 2: Convert to fraction form
    103.20/142.09 = 86.79/x
  3. Step 3: Cross multiply
    103.20x = 142.09 × 86.79
  4. Step 4: Simplify right side
    103.20x = 12,331.99
  5. Step 5: Solve for x
    x = 12,331.99/103.20
  6. Step 6: Final answer
    x = 119.50

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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.