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Finding the Fourth Proportional to 116.01, 173.78 and 72.71

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Solution

The fourth proportional to 116.01, 173.78 and 72.71 is: 108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.01 : 173.78 = 72.71 : x
  2. Step 2: Convert to fraction form
    116.01/173.78 = 72.71/x
  3. Step 3: Cross multiply
    116.01x = 173.78 × 72.71
  4. Step 4: Simplify right side
    116.01x = 12,634.31
  5. Step 5: Solve for x
    x = 12,634.31/116.01
  6. Step 6: Final answer
    x = 108.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.