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Finding the Fourth Proportional to 116.28, 174.06 and 81.78

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Solution

The fourth proportional to 116.28, 174.06 and 81.78 is: 122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.28 : 174.06 = 81.78 : x
  2. Step 2: Convert to fraction form
    116.28/174.06 = 81.78/x
  3. Step 3: Cross multiply
    116.28x = 174.06 × 81.78
  4. Step 4: Simplify right side
    116.28x = 14,234.63
  5. Step 5: Solve for x
    x = 14,234.63/116.28
  6. Step 6: Final answer
    x = 122.42

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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.