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Finding the Fourth Proportional to 87.74, 121.09 and 50.92

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Solution

The fourth proportional to 87.74, 121.09 and 50.92 is: 70.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 121.09 = 50.92 : x
  2. Step 2: Convert to fraction form
    87.74/121.09 = 50.92/x
  3. Step 3: Cross multiply
    87.74x = 121.09 × 50.92
  4. Step 4: Simplify right side
    87.74x = 6,165.04
  5. Step 5: Solve for x
    x = 6,165.04/87.74
  6. Step 6: Final answer
    x = 70.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.