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Finding the Fourth Proportional to 87.68, 120.96 and 63.06

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Solution

The fourth proportional to 87.68, 120.96 and 63.06 is: 87.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.68 : 120.96 = 63.06 : x
  2. Step 2: Convert to fraction form
    87.68/120.96 = 63.06/x
  3. Step 3: Cross multiply
    87.68x = 120.96 × 63.06
  4. Step 4: Simplify right side
    87.68x = 7,627.74
  5. Step 5: Solve for x
    x = 7,627.74/87.68
  6. Step 6: Final answer
    x = 87.00

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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.