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Finding the Fourth Proportional to 8.31, 11.45 and 6.94

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Solution

The fourth proportional to 8.31, 11.45 and 6.94 is: 9.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.31 : 11.45 = 6.94 : x
  2. Step 2: Convert to fraction form
    8.31/11.45 = 6.94/x
  3. Step 3: Cross multiply
    8.31x = 11.45 × 6.94
  4. Step 4: Simplify right side
    8.31x = 79.46
  5. Step 5: Solve for x
    x = 79.46/8.31
  6. Step 6: Final answer
    x = 9.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.