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Finding the Fourth Proportional to 87.02, 119.77 and 69.48

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Solution

The fourth proportional to 87.02, 119.77 and 69.48 is: 95.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.02 : 119.77 = 69.48 : x
  2. Step 2: Convert to fraction form
    87.02/119.77 = 69.48/x
  3. Step 3: Cross multiply
    87.02x = 119.77 × 69.48
  4. Step 4: Simplify right side
    87.02x = 8,321.71
  5. Step 5: Solve for x
    x = 8,321.71/87.02
  6. Step 6: Final answer
    x = 95.63

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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.