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Finding the Fourth Proportional to 10.49, 14.38 and 10.05

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Solution

The fourth proportional to 10.49, 14.38 and 10.05 is: 13.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.49 : 14.38 = 10.05 : x
  2. Step 2: Convert to fraction form
    10.49/14.38 = 10.05/x
  3. Step 3: Cross multiply
    10.49x = 14.38 × 10.05
  4. Step 4: Simplify right side
    10.49x = 144.44
  5. Step 5: Solve for x
    x = 144.44/10.49
  6. Step 6: Final answer
    x = 13.78

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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.