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Finding the Fourth Proportional to 10.11, 14.04 and 10.09

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Solution

The fourth proportional to 10.11, 14.04 and 10.09 is: 14.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.11 : 14.04 = 10.09 : x
  2. Step 2: Convert to fraction form
    10.11/14.04 = 10.09/x
  3. Step 3: Cross multiply
    10.11x = 14.04 × 10.09
  4. Step 4: Simplify right side
    10.11x = 141.63
  5. Step 5: Solve for x
    x = 141.63/10.11
  6. Step 6: Final answer
    x = 14.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.