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Finding the Fourth Proportional to 87.75, 131.66 and 30.75

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Solution

The fourth proportional to 87.75, 131.66 and 30.75 is: 46.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.75 : 131.66 = 30.75 : x
  2. Step 2: Convert to fraction form
    87.75/131.66 = 30.75/x
  3. Step 3: Cross multiply
    87.75x = 131.66 × 30.75
  4. Step 4: Simplify right side
    87.75x = 4,048.39
  5. Step 5: Solve for x
    x = 4,048.39/87.75
  6. Step 6: Final answer
    x = 46.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.