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Finding the Fourth Proportional to 87.84, 121.23 and 55.13

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Solution

The fourth proportional to 87.84, 121.23 and 55.13 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 121.23 = 55.13 : x
  2. Step 2: Convert to fraction form
    87.84/121.23 = 55.13/x
  3. Step 3: Cross multiply
    87.84x = 121.23 × 55.13
  4. Step 4: Simplify right side
    87.84x = 6,682.80
  5. Step 5: Solve for x
    x = 6,682.80/87.84
  6. Step 6: Final answer
    x = 76.08

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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.