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Finding the Fourth Proportional to 16.43, 24.61 and 11.07

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Solution

The fourth proportional to 16.43, 24.61 and 11.07 is: 16.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.43 : 24.61 = 11.07 : x
  2. Step 2: Convert to fraction form
    16.43/24.61 = 11.07/x
  3. Step 3: Cross multiply
    16.43x = 24.61 × 11.07
  4. Step 4: Simplify right side
    16.43x = 272.43
  5. Step 5: Solve for x
    x = 272.43/16.43
  6. Step 6: Final answer
    x = 16.58

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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.