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Finding the Fourth Proportional to 19.65, 29.42 and 13.22

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Solution

The fourth proportional to 19.65, 29.42 and 13.22 is: 19.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.65 : 29.42 = 13.22 : x
  2. Step 2: Convert to fraction form
    19.65/29.42 = 13.22/x
  3. Step 3: Cross multiply
    19.65x = 29.42 × 13.22
  4. Step 4: Simplify right side
    19.65x = 388.89
  5. Step 5: Solve for x
    x = 388.89/19.65
  6. Step 6: Final answer
    x = 19.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.