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Finding the Fourth Proportional to 75.96, 113.89 and 27.86

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Solution

The fourth proportional to 75.96, 113.89 and 27.86 is: 41.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 113.89 = 27.86 : x
  2. Step 2: Convert to fraction form
    75.96/113.89 = 27.86/x
  3. Step 3: Cross multiply
    75.96x = 113.89 × 27.86
  4. Step 4: Simplify right side
    75.96x = 3,172.98
  5. Step 5: Solve for x
    x = 3,172.98/75.96
  6. Step 6: Final answer
    x = 41.77

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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.