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Finding the Fourth Proportional to 76.62, 114.85 and 27.83

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Solution

The fourth proportional to 76.62, 114.85 and 27.83 is: 41.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 114.85 = 27.83 : x
  2. Step 2: Convert to fraction form
    76.62/114.85 = 27.83/x
  3. Step 3: Cross multiply
    76.62x = 114.85 × 27.83
  4. Step 4: Simplify right side
    76.62x = 3,195.63
  5. Step 5: Solve for x
    x = 3,195.63/76.62
  6. Step 6: Final answer
    x = 41.71

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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.