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Finding the Fourth Proportional to 16.06, 22.16 and 12.82

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Solution

The fourth proportional to 16.06, 22.16 and 12.82 is: 17.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.06 : 22.16 = 12.82 : x
  2. Step 2: Convert to fraction form
    16.06/22.16 = 12.82/x
  3. Step 3: Cross multiply
    16.06x = 22.16 × 12.82
  4. Step 4: Simplify right side
    16.06x = 284.03
  5. Step 5: Solve for x
    x = 284.03/16.06
  6. Step 6: Final answer
    x = 17.69

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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.