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Finding the Fourth Proportional to 72.11, 107.33 and 71.97

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Solution

The fourth proportional to 72.11, 107.33 and 71.97 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.11 : 107.33 = 71.97 : x
  2. Step 2: Convert to fraction form
    72.11/107.33 = 71.97/x
  3. Step 3: Cross multiply
    72.11x = 107.33 × 71.97
  4. Step 4: Simplify right side
    72.11x = 7,724.18
  5. Step 5: Solve for x
    x = 7,724.18/72.11
  6. Step 6: Final answer
    x = 107.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.