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Finding the Fourth Proportional to 75.61, 113.31 and 55.23

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Solution

The fourth proportional to 75.61, 113.31 and 55.23 is: 82.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.61 : 113.31 = 55.23 : x
  2. Step 2: Convert to fraction form
    75.61/113.31 = 55.23/x
  3. Step 3: Cross multiply
    75.61x = 113.31 × 55.23
  4. Step 4: Simplify right side
    75.61x = 6,257.54
  5. Step 5: Solve for x
    x = 6,257.54/75.61
  6. Step 6: Final answer
    x = 82.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.