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Finding the Fourth Proportional to 87.94, 132.57 and 82.07

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Solution

The fourth proportional to 87.94, 132.57 and 82.07 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 132.57 = 82.07 : x
  2. Step 2: Convert to fraction form
    87.94/132.57 = 82.07/x
  3. Step 3: Cross multiply
    87.94x = 132.57 × 82.07
  4. Step 4: Simplify right side
    87.94x = 10,880.02
  5. Step 5: Solve for x
    x = 10,880.02/87.94
  6. Step 6: Final answer
    x = 123.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.