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Finding the Fourth Proportional to 87.79, 121.20 and 52.83

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Solution

The fourth proportional to 87.79, 121.20 and 52.83 is: 72.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.79 : 121.20 = 52.83 : x
  2. Step 2: Convert to fraction form
    87.79/121.20 = 52.83/x
  3. Step 3: Cross multiply
    87.79x = 121.20 × 52.83
  4. Step 4: Simplify right side
    87.79x = 6,402.57
  5. Step 5: Solve for x
    x = 6,402.57/87.79
  6. Step 6: Final answer
    x = 72.93

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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.