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Finding the Fourth Proportional to 10.82, 14.84 and 9.60

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Solution

The fourth proportional to 10.82, 14.84 and 9.60 is: 13.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.82 : 14.84 = 9.60 : x
  2. Step 2: Convert to fraction form
    10.82/14.84 = 9.60/x
  3. Step 3: Cross multiply
    10.82x = 14.84 × 9.60
  4. Step 4: Simplify right side
    10.82x = 142.42
  5. Step 5: Solve for x
    x = 142.42/10.82
  6. Step 6: Final answer
    x = 13.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.