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Finding the Fourth Proportional to 72.21, 108.16 and 41.29

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Solution

The fourth proportional to 72.21, 108.16 and 41.29 is: 61.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.21 : 108.16 = 41.29 : x
  2. Step 2: Convert to fraction form
    72.21/108.16 = 41.29/x
  3. Step 3: Cross multiply
    72.21x = 108.16 × 41.29
  4. Step 4: Simplify right side
    72.21x = 4,465.72
  5. Step 5: Solve for x
    x = 4,465.72/72.21
  6. Step 6: Final answer
    x = 61.84

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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.