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Finding the Fourth Proportional to 87.84, 120.81 and 80.10

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Solution

The fourth proportional to 87.84, 120.81 and 80.10 is: 110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 120.81 = 80.10 : x
  2. Step 2: Convert to fraction form
    87.84/120.81 = 80.10/x
  3. Step 3: Cross multiply
    87.84x = 120.81 × 80.10
  4. Step 4: Simplify right side
    87.84x = 9,676.88
  5. Step 5: Solve for x
    x = 9,676.88/87.84
  6. Step 6: Final answer
    x = 110.16

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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.