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Finding the Fourth Proportional to 19.92, 29.85 and 8.50

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Solution

The fourth proportional to 19.92, 29.85 and 8.50 is: 12.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.92 : 29.85 = 8.50 : x
  2. Step 2: Convert to fraction form
    19.92/29.85 = 8.50/x
  3. Step 3: Cross multiply
    19.92x = 29.85 × 8.50
  4. Step 4: Simplify right side
    19.92x = 253.80
  5. Step 5: Solve for x
    x = 253.80/19.92
  6. Step 6: Final answer
    x = 12.74

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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.