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Finding the Fourth Proportional to 16.52, 22.81 and 12.89

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Solution

The fourth proportional to 16.52, 22.81 and 12.89 is: 17.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.52 : 22.81 = 12.89 : x
  2. Step 2: Convert to fraction form
    16.52/22.81 = 12.89/x
  3. Step 3: Cross multiply
    16.52x = 22.81 × 12.89
  4. Step 4: Simplify right side
    16.52x = 293.87
  5. Step 5: Solve for x
    x = 293.87/16.52
  6. Step 6: Final answer
    x = 17.79

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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.