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Finding the Fourth Proportional to 87.57, 121.05 and 66.84

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Solution

The fourth proportional to 87.57, 121.05 and 66.84 is: 92.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 121.05 = 66.84 : x
  2. Step 2: Convert to fraction form
    87.57/121.05 = 66.84/x
  3. Step 3: Cross multiply
    87.57x = 121.05 × 66.84
  4. Step 4: Simplify right side
    87.57x = 8,090.98
  5. Step 5: Solve for x
    x = 8,090.98/87.57
  6. Step 6: Final answer
    x = 92.39

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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.