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Finding the Fourth Proportional to 10.01, 13.82 and 7.97

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Solution

The fourth proportional to 10.01, 13.82 and 7.97 is: 10.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.01 : 13.82 = 7.97 : x
  2. Step 2: Convert to fraction form
    10.01/13.82 = 7.97/x
  3. Step 3: Cross multiply
    10.01x = 13.82 × 7.97
  4. Step 4: Simplify right side
    10.01x = 110.04
  5. Step 5: Solve for x
    x = 110.04/10.01
  6. Step 6: Final answer
    x = 10.99

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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.