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Finding the Fourth Proportional to 8.50, 12.67 and 8.42

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Solution

The fourth proportional to 8.50, 12.67 and 8.42 is: 12.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.50 : 12.67 = 8.42 : x
  2. Step 2: Convert to fraction form
    8.50/12.67 = 8.42/x
  3. Step 3: Cross multiply
    8.50x = 12.67 × 8.42
  4. Step 4: Simplify right side
    8.50x = 106.64
  5. Step 5: Solve for x
    x = 106.64/8.50
  6. Step 6: Final answer
    x = 12.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.