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Finding the Fourth Proportional to 16.96, 23.41 and 13.07

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Solution

The fourth proportional to 16.96, 23.41 and 13.07 is: 18.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.96 : 23.41 = 13.07 : x
  2. Step 2: Convert to fraction form
    16.96/23.41 = 13.07/x
  3. Step 3: Cross multiply
    16.96x = 23.41 × 13.07
  4. Step 4: Simplify right side
    16.96x = 306.11
  5. Step 5: Solve for x
    x = 306.11/16.96
  6. Step 6: Final answer
    x = 18.05

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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.