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Finding the Fourth Proportional to 53.44, 80.17 and 29.41

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Solution

The fourth proportional to 53.44, 80.17 and 29.41 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.44 : 80.17 = 29.41 : x
  2. Step 2: Convert to fraction form
    53.44/80.17 = 29.41/x
  3. Step 3: Cross multiply
    53.44x = 80.17 × 29.41
  4. Step 4: Simplify right side
    53.44x = 2,357.69
  5. Step 5: Solve for x
    x = 2,357.69/53.44
  6. Step 6: Final answer
    x = 44.12

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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.