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Finding the Fourth Proportional to 19.64, 27.10 and 12.27

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Solution

The fourth proportional to 19.64, 27.10 and 12.27 is: 16.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.64 : 27.10 = 12.27 : x
  2. Step 2: Convert to fraction form
    19.64/27.10 = 12.27/x
  3. Step 3: Cross multiply
    19.64x = 27.10 × 12.27
  4. Step 4: Simplify right side
    19.64x = 332.44
  5. Step 5: Solve for x
    x = 332.44/19.64
  6. Step 6: Final answer
    x = 16.93

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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.