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Finding the Fourth Proportional to 75.86, 113.76 and 27.75

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Solution

The fourth proportional to 75.86, 113.76 and 27.75 is: 41.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 113.76 = 27.75 : x
  2. Step 2: Convert to fraction form
    75.86/113.76 = 27.75/x
  3. Step 3: Cross multiply
    75.86x = 113.76 × 27.75
  4. Step 4: Simplify right side
    75.86x = 3,156.84
  5. Step 5: Solve for x
    x = 3,156.84/75.86
  6. Step 6: Final answer
    x = 41.62

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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.