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Finding the Fourth Proportional to 87.83, 121.20 and 49.02

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Solution

The fourth proportional to 87.83, 121.20 and 49.02 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.83 : 121.20 = 49.02 : x
  2. Step 2: Convert to fraction form
    87.83/121.20 = 49.02/x
  3. Step 3: Cross multiply
    87.83x = 121.20 × 49.02
  4. Step 4: Simplify right side
    87.83x = 5,941.22
  5. Step 5: Solve for x
    x = 5,941.22/87.83
  6. Step 6: Final answer
    x = 67.64

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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.