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Finding the Fourth Proportional to 11.42, 15.76 and 7.97

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Solution

The fourth proportional to 11.42, 15.76 and 7.97 is: 10.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.42 : 15.76 = 7.97 : x
  2. Step 2: Convert to fraction form
    11.42/15.76 = 7.97/x
  3. Step 3: Cross multiply
    11.42x = 15.76 × 7.97
  4. Step 4: Simplify right side
    11.42x = 125.58
  5. Step 5: Solve for x
    x = 125.58/11.42
  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.