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Finding the Fourth Proportional to 72.22, 108.71 and 54.32

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Solution

The fourth proportional to 72.22, 108.71 and 54.32 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.22 : 108.71 = 54.32 : x
  2. Step 2: Convert to fraction form
    72.22/108.71 = 54.32/x
  3. Step 3: Cross multiply
    72.22x = 108.71 × 54.32
  4. Step 4: Simplify right side
    72.22x = 5,905.13
  5. Step 5: Solve for x
    x = 5,905.13/72.22
  6. Step 6: Final answer
    x = 81.77

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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.