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Finding the Fourth Proportional to 44.05, 66.05 and 16.24

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Solution

The fourth proportional to 44.05, 66.05 and 16.24 is: 24.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.05 : 66.05 = 16.24 : x
  2. Step 2: Convert to fraction form
    44.05/66.05 = 16.24/x
  3. Step 3: Cross multiply
    44.05x = 66.05 × 16.24
  4. Step 4: Simplify right side
    44.05x = 1,072.86
  5. Step 5: Solve for x
    x = 1,072.86/44.05
  6. Step 6: Final answer
    x = 24.36

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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.