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Finding the Fourth Proportional to 77.56, 116.34 and 31.91

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Solution

The fourth proportional to 77.56, 116.34 and 31.91 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.56 : 116.34 = 31.91 : x
  2. Step 2: Convert to fraction form
    77.56/116.34 = 31.91/x
  3. Step 3: Cross multiply
    77.56x = 116.34 × 31.91
  4. Step 4: Simplify right side
    77.56x = 3,712.41
  5. Step 5: Solve for x
    x = 3,712.41/77.56
  6. Step 6: Final answer
    x = 47.87

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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.