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Finding the Fourth Proportional to 76.82, 114.49 and 74.90

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Solution

The fourth proportional to 76.82, 114.49 and 74.90 is: 111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 114.49 = 74.90 : x
  2. Step 2: Convert to fraction form
    76.82/114.49 = 74.90/x
  3. Step 3: Cross multiply
    76.82x = 114.49 × 74.90
  4. Step 4: Simplify right side
    76.82x = 8,575.30
  5. Step 5: Solve for x
    x = 8,575.30/76.82
  6. Step 6: Final answer
    x = 111.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.