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Finding the Fourth Proportional to 10.19, 14.14 and 10.09

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Solution

The fourth proportional to 10.19, 14.14 and 10.09 is: 14.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.19 : 14.14 = 10.09 : x
  2. Step 2: Convert to fraction form
    10.19/14.14 = 10.09/x
  3. Step 3: Cross multiply
    10.19x = 14.14 × 10.09
  4. Step 4: Simplify right side
    10.19x = 142.67
  5. Step 5: Solve for x
    x = 142.67/10.19
  6. Step 6: Final answer
    x = 14.00

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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.