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Finding the Fourth Proportional to 49.72, 74.43 and 35.96

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Solution

The fourth proportional to 49.72, 74.43 and 35.96 is: 53.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.72 : 74.43 = 35.96 : x
  2. Step 2: Convert to fraction form
    49.72/74.43 = 35.96/x
  3. Step 3: Cross multiply
    49.72x = 74.43 × 35.96
  4. Step 4: Simplify right side
    49.72x = 2,676.03
  5. Step 5: Solve for x
    x = 2,676.03/49.72
  6. Step 6: Final answer
    x = 53.82

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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.