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Finding the Fourth Proportional to 18.14, 24.96 and 16.82

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Solution

The fourth proportional to 18.14, 24.96 and 16.82 is: 23.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.14 : 24.96 = 16.82 : x
  2. Step 2: Convert to fraction form
    18.14/24.96 = 16.82/x
  3. Step 3: Cross multiply
    18.14x = 24.96 × 16.82
  4. Step 4: Simplify right side
    18.14x = 419.83
  5. Step 5: Solve for x
    x = 419.83/18.14
  6. Step 6: Final answer
    x = 23.14

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Why These Related Problems?

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