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Finding the Fourth Proportional to 87.74, 120.75 and 68.30

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Solution

The fourth proportional to 87.74, 120.75 and 68.30 is: 94.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 120.75 = 68.30 : x
  2. Step 2: Convert to fraction form
    87.74/120.75 = 68.30/x
  3. Step 3: Cross multiply
    87.74x = 120.75 × 68.30
  4. Step 4: Simplify right side
    87.74x = 8,247.23
  5. Step 5: Solve for x
    x = 8,247.23/87.74
  6. Step 6: Final answer
    x = 94.00

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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.