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Finding the Fourth Proportional to 19.66, 27.10 and 13.09

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Solution

The fourth proportional to 19.66, 27.10 and 13.09 is: 18.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.66 : 27.10 = 13.09 : x
  2. Step 2: Convert to fraction form
    19.66/27.10 = 13.09/x
  3. Step 3: Cross multiply
    19.66x = 27.10 × 13.09
  4. Step 4: Simplify right side
    19.66x = 354.74
  5. Step 5: Solve for x
    x = 354.74/19.66
  6. Step 6: Final answer
    x = 18.04

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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.