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Finding the Fourth Proportional to 72.69, 109.20 and 44.21

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Solution

The fourth proportional to 72.69, 109.20 and 44.21 is: 66.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.69 : 109.20 = 44.21 : x
  2. Step 2: Convert to fraction form
    72.69/109.20 = 44.21/x
  3. Step 3: Cross multiply
    72.69x = 109.20 × 44.21
  4. Step 4: Simplify right side
    72.69x = 4,827.51
  5. Step 5: Solve for x
    x = 4,827.51/72.69
  6. Step 6: Final answer
    x = 66.41

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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.