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Finding the Fourth Proportional to 19.51, 26.91 and 12.23

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Solution

The fourth proportional to 19.51, 26.91 and 12.23 is: 16.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.51 : 26.91 = 12.23 : x
  2. Step 2: Convert to fraction form
    19.51/26.91 = 12.23/x
  3. Step 3: Cross multiply
    19.51x = 26.91 × 12.23
  4. Step 4: Simplify right side
    19.51x = 329.11
  5. Step 5: Solve for x
    x = 329.11/19.51
  6. Step 6: Final answer
    x = 16.87

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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.