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Finding the Fourth Proportional to 10.24, 14.12 and 7.82

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Solution

The fourth proportional to 10.24, 14.12 and 7.82 is: 10.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 14.12 = 7.82 : x
  2. Step 2: Convert to fraction form
    10.24/14.12 = 7.82/x
  3. Step 3: Cross multiply
    10.24x = 14.12 × 7.82
  4. Step 4: Simplify right side
    10.24x = 110.42
  5. Step 5: Solve for x
    x = 110.42/10.24
  6. Step 6: Final answer
    x = 10.78

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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.