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Finding the Fourth Proportional to 75.97, 113.96 and 55.05

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Solution

The fourth proportional to 75.97, 113.96 and 55.05 is: 82.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.97 : 113.96 = 55.05 : x
  2. Step 2: Convert to fraction form
    75.97/113.96 = 55.05/x
  3. Step 3: Cross multiply
    75.97x = 113.96 × 55.05
  4. Step 4: Simplify right side
    75.97x = 6,272.65
  5. Step 5: Solve for x
    x = 6,272.65/75.97
  6. Step 6: Final answer
    x = 82.57

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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.