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Finding the Fourth Proportional to 17.12, 23.62 and 12.80

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Solution

The fourth proportional to 17.12, 23.62 and 12.80 is: 17.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.12 : 23.62 = 12.80 : x
  2. Step 2: Convert to fraction form
    17.12/23.62 = 12.80/x
  3. Step 3: Cross multiply
    17.12x = 23.62 × 12.80
  4. Step 4: Simplify right side
    17.12x = 302.34
  5. Step 5: Solve for x
    x = 302.34/17.12
  6. Step 6: Final answer
    x = 17.66

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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.