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Finding the Fourth Proportional to 12.65, 17.49 and 12.03

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Solution

The fourth proportional to 12.65, 17.49 and 12.03 is: 16.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.65 : 17.49 = 12.03 : x
  2. Step 2: Convert to fraction form
    12.65/17.49 = 12.03/x
  3. Step 3: Cross multiply
    12.65x = 17.49 × 12.03
  4. Step 4: Simplify right side
    12.65x = 210.34
  5. Step 5: Solve for x
    x = 210.34/12.65
  6. Step 6: Final answer
    x = 16.63

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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.