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Finding the Fourth Proportional to 72.21, 108.72 and 54.33

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Solution

The fourth proportional to 72.21, 108.72 and 54.33 is: 81.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.21 : 108.72 = 54.33 : x
  2. Step 2: Convert to fraction form
    72.21/108.72 = 54.33/x
  3. Step 3: Cross multiply
    72.21x = 108.72 × 54.33
  4. Step 4: Simplify right side
    72.21x = 5,906.76
  5. Step 5: Solve for x
    x = 5,906.76/72.21
  6. Step 6: Final answer
    x = 81.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.