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Finding the Fourth Proportional to 87.74, 131.58 and 29.96

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Solution

The fourth proportional to 87.74, 131.58 and 29.96 is: 44.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 131.58 = 29.96 : x
  2. Step 2: Convert to fraction form
    87.74/131.58 = 29.96/x
  3. Step 3: Cross multiply
    87.74x = 131.58 × 29.96
  4. Step 4: Simplify right side
    87.74x = 3,942.14
  5. Step 5: Solve for x
    x = 3,942.14/87.74
  6. Step 6: Final answer
    x = 44.93

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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.