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Finding the Fourth Proportional to 87.84, 121.24 and 51.02

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Solution

The fourth proportional to 87.84, 121.24 and 51.02 is: 70.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 121.24 = 51.02 : x
  2. Step 2: Convert to fraction form
    87.84/121.24 = 51.02/x
  3. Step 3: Cross multiply
    87.84x = 121.24 × 51.02
  4. Step 4: Simplify right side
    87.84x = 6,185.66
  5. Step 5: Solve for x
    x = 6,185.66/87.84
  6. Step 6: Final answer
    x = 70.42

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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.