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Finding the Fourth Proportional to 87.73, 121.07 and 52.76

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Solution

The fourth proportional to 87.73, 121.07 and 52.76 is: 72.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.73 : 121.07 = 52.76 : x
  2. Step 2: Convert to fraction form
    87.73/121.07 = 52.76/x
  3. Step 3: Cross multiply
    87.73x = 121.07 × 52.76
  4. Step 4: Simplify right side
    87.73x = 6,386.78
  5. Step 5: Solve for x
    x = 6,386.78/87.73
  6. Step 6: Final answer
    x = 72.80

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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.