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Finding the Fourth Proportional to 14, 19.29 and 10.31

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Solution

The fourth proportional to 14, 19.29 and 10.31 is: 14.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 19.29 = 10.31 : x
  2. Step 2: Convert to fraction form
    14/19.29 = 10.31/x
  3. Step 3: Cross multiply
    14x = 19.29 × 10.31
  4. Step 4: Simplify right side
    14x = 198.88
  5. Step 5: Solve for x
    x = 198.88/14
  6. Step 6: Final answer
    x = 14.21

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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.