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Finding the Fourth Proportional to 19.91, 27.42 and 19.65

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Solution

The fourth proportional to 19.91, 27.42 and 19.65 is: 27.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.91 : 27.42 = 19.65 : x
  2. Step 2: Convert to fraction form
    19.91/27.42 = 19.65/x
  3. Step 3: Cross multiply
    19.91x = 27.42 × 19.65
  4. Step 4: Simplify right side
    19.91x = 538.80
  5. Step 5: Solve for x
    x = 538.80/19.91
  6. Step 6: Final answer
    x = 27.07

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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.