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Finding the Fourth Proportional to 77.61, 116.41 and 31.97

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Solution

The fourth proportional to 77.61, 116.41 and 31.97 is: 47.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.61 : 116.41 = 31.97 : x
  2. Step 2: Convert to fraction form
    77.61/116.41 = 31.97/x
  3. Step 3: Cross multiply
    77.61x = 116.41 × 31.97
  4. Step 4: Simplify right side
    77.61x = 3,721.63
  5. Step 5: Solve for x
    x = 3,721.63/77.61
  6. Step 6: Final answer
    x = 47.95

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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.