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Finding the Fourth Proportional to 87.84, 121.21 and 49.02

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Solution

The fourth proportional to 87.84, 121.21 and 49.02 is: 67.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 121.21 = 49.02 : x
  2. Step 2: Convert to fraction form
    87.84/121.21 = 49.02/x
  3. Step 3: Cross multiply
    87.84x = 121.21 × 49.02
  4. Step 4: Simplify right side
    87.84x = 5,941.71
  5. Step 5: Solve for x
    x = 5,941.71/87.84
  6. Step 6: Final answer
    x = 67.65

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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.