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Finding the Fourth Proportional to 19.74, 29.62 and 8.34

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Solution

The fourth proportional to 19.74, 29.62 and 8.34 is: 12.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.74 : 29.62 = 8.34 : x
  2. Step 2: Convert to fraction form
    19.74/29.62 = 8.34/x
  3. Step 3: Cross multiply
    19.74x = 29.62 × 8.34
  4. Step 4: Simplify right side
    19.74x = 247.03
  5. Step 5: Solve for x
    x = 247.03/19.74
  6. Step 6: Final answer
    x = 12.51

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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.