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Finding the Fourth Proportional to 8.70, 12.96 and 7.94

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Solution

The fourth proportional to 8.70, 12.96 and 7.94 is: 11.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.70 : 12.96 = 7.94 : x
  2. Step 2: Convert to fraction form
    8.70/12.96 = 7.94/x
  3. Step 3: Cross multiply
    8.70x = 12.96 × 7.94
  4. Step 4: Simplify right side
    8.70x = 102.90
  5. Step 5: Solve for x
    x = 102.90/8.70
  6. Step 6: Final answer
    x = 11.83

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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.