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Finding the Fourth Proportional to 87.57, 120.84 and 48.75

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Solution

The fourth proportional to 87.57, 120.84 and 48.75 is: 67.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 120.84 = 48.75 : x
  2. Step 2: Convert to fraction form
    87.57/120.84 = 48.75/x
  3. Step 3: Cross multiply
    87.57x = 120.84 × 48.75
  4. Step 4: Simplify right side
    87.57x = 5,890.71
  5. Step 5: Solve for x
    x = 5,890.71/87.57
  6. Step 6: Final answer
    x = 67.27

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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.