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Finding the Fourth Proportional to 19.65, 27.09 and 12.36

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Solution

The fourth proportional to 19.65, 27.09 and 12.36 is: 17.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.65 : 27.09 = 12.36 : x
  2. Step 2: Convert to fraction form
    19.65/27.09 = 12.36/x
  3. Step 3: Cross multiply
    19.65x = 27.09 × 12.36
  4. Step 4: Simplify right side
    19.65x = 334.83
  5. Step 5: Solve for x
    x = 334.83/19.65
  6. Step 6: Final answer
    x = 17.04

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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.