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Finding the Fourth Proportional to 87.82, 121.26 and 71.44

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Solution

The fourth proportional to 87.82, 121.26 and 71.44 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.82 : 121.26 = 71.44 : x
  2. Step 2: Convert to fraction form
    87.82/121.26 = 71.44/x
  3. Step 3: Cross multiply
    87.82x = 121.26 × 71.44
  4. Step 4: Simplify right side
    87.82x = 8,662.81
  5. Step 5: Solve for x
    x = 8,662.81/87.82
  6. Step 6: Final answer
    x = 98.64

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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.