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Finding the Fourth Proportional to 10.05, 13.84 and 9.60

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Solution

The fourth proportional to 10.05, 13.84 and 9.60 is: 13.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.05 : 13.84 = 9.60 : x
  2. Step 2: Convert to fraction form
    10.05/13.84 = 9.60/x
  3. Step 3: Cross multiply
    10.05x = 13.84 × 9.60
  4. Step 4: Simplify right side
    10.05x = 132.86
  5. Step 5: Solve for x
    x = 132.86/10.05
  6. Step 6: Final answer
    x = 13.22

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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.