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Finding the Fourth Proportional to 18, 26.96 and 16.13

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Solution

The fourth proportional to 18, 26.96 and 16.13 is: 24.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18 : 26.96 = 16.13 : x
  2. Step 2: Convert to fraction form
    18/26.96 = 16.13/x
  3. Step 3: Cross multiply
    18x = 26.96 × 16.13
  4. Step 4: Simplify right side
    18x = 434.97
  5. Step 5: Solve for x
    x = 434.97/18
  6. Step 6: Final answer
    x = 24.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.