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Finding the Fourth Proportional to 24.73, 34.13 and 16.53

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Solution

The fourth proportional to 24.73, 34.13 and 16.53 is: 22.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.73 : 34.13 = 16.53 : x
  2. Step 2: Convert to fraction form
    24.73/34.13 = 16.53/x
  3. Step 3: Cross multiply
    24.73x = 34.13 × 16.53
  4. Step 4: Simplify right side
    24.73x = 564.21
  5. Step 5: Solve for x
    x = 564.21/24.73
  6. Step 6: Final answer
    x = 22.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.