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Finding the Fourth Proportional to 49.54, 74.31 and 13.47

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Solution

The fourth proportional to 49.54, 74.31 and 13.47 is: 20.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.54 : 74.31 = 13.47 : x
  2. Step 2: Convert to fraction form
    49.54/74.31 = 13.47/x
  3. Step 3: Cross multiply
    49.54x = 74.31 × 13.47
  4. Step 4: Simplify right side
    49.54x = 1,000.99
  5. Step 5: Solve for x
    x = 1,000.99/49.54
  6. Step 6: Final answer
    x = 20.21

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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.