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Finding the Fourth Proportional to 87.94, 121.43 and 55.20

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Solution

The fourth proportional to 87.94, 121.43 and 55.20 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 121.43 = 55.20 : x
  2. Step 2: Convert to fraction form
    87.94/121.43 = 55.20/x
  3. Step 3: Cross multiply
    87.94x = 121.43 × 55.20
  4. Step 4: Simplify right side
    87.94x = 6,702.94
  5. Step 5: Solve for x
    x = 6,702.94/87.94
  6. Step 6: Final answer
    x = 76.22

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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.