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Finding the Fourth Proportional to 16.85, 23.28 and 12.77

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Solution

The fourth proportional to 16.85, 23.28 and 12.77 is: 17.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.85 : 23.28 = 12.77 : x
  2. Step 2: Convert to fraction form
    16.85/23.28 = 12.77/x
  3. Step 3: Cross multiply
    16.85x = 23.28 × 12.77
  4. Step 4: Simplify right side
    16.85x = 297.29
  5. Step 5: Solve for x
    x = 297.29/16.85
  6. Step 6: Final answer
    x = 17.64

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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.