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Finding the Fourth Proportional to 24.14, 33.30 and 16.89

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Solution

The fourth proportional to 24.14, 33.30 and 16.89 is: 23.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 33.30 = 16.89 : x
  2. Step 2: Convert to fraction form
    24.14/33.30 = 16.89/x
  3. Step 3: Cross multiply
    24.14x = 33.30 × 16.89
  4. Step 4: Simplify right side
    24.14x = 562.44
  5. Step 5: Solve for x
    x = 562.44/24.14
  6. Step 6: Final answer
    x = 23.30

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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.