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Finding the Fourth Proportional to 87.96, 120.75 and 78.24

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Solution

The fourth proportional to 87.96, 120.75 and 78.24 is: 107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.96 : 120.75 = 78.24 : x
  2. Step 2: Convert to fraction form
    87.96/120.75 = 78.24/x
  3. Step 3: Cross multiply
    87.96x = 120.75 × 78.24
  4. Step 4: Simplify right side
    87.96x = 9,447.48
  5. Step 5: Solve for x
    x = 9,447.48/87.96
  6. Step 6: Final answer
    x = 107.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.