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Finding the Fourth Proportional to 72.71, 109.03 and 36.66

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Solution

The fourth proportional to 72.71, 109.03 and 36.66 is: 54.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.71 : 109.03 = 36.66 : x
  2. Step 2: Convert to fraction form
    72.71/109.03 = 36.66/x
  3. Step 3: Cross multiply
    72.71x = 109.03 × 36.66
  4. Step 4: Simplify right side
    72.71x = 3,997.04
  5. Step 5: Solve for x
    x = 3,997.04/72.71
  6. Step 6: Final answer
    x = 54.97

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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.