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Finding the Fourth Proportional to 15.67, 21.65 and 12.23

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Solution

The fourth proportional to 15.67, 21.65 and 12.23 is: 16.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.67 : 21.65 = 12.23 : x
  2. Step 2: Convert to fraction form
    15.67/21.65 = 12.23/x
  3. Step 3: Cross multiply
    15.67x = 21.65 × 12.23
  4. Step 4: Simplify right side
    15.67x = 264.78
  5. Step 5: Solve for x
    x = 264.78/15.67
  6. Step 6: Final answer
    x = 16.90

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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.