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Finding the Fourth Proportional to 76.62, 114.84 and 30.95

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Solution

The fourth proportional to 76.62, 114.84 and 30.95 is: 46.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 114.84 = 30.95 : x
  2. Step 2: Convert to fraction form
    76.62/114.84 = 30.95/x
  3. Step 3: Cross multiply
    76.62x = 114.84 × 30.95
  4. Step 4: Simplify right side
    76.62x = 3,553.72
  5. Step 5: Solve for x
    x = 3,553.72/76.62
  6. Step 6: Final answer
    x = 46.38

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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.