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Finding the Fourth Proportional to 14.23, 19.62 and 10.13

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Solution

The fourth proportional to 14.23, 19.62 and 10.13 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 19.62 = 10.13 : x
  2. Step 2: Convert to fraction form
    14.23/19.62 = 10.13/x
  3. Step 3: Cross multiply
    14.23x = 19.62 × 10.13
  4. Step 4: Simplify right side
    14.23x = 198.65
  5. Step 5: Solve for x
    x = 198.65/14.23
  6. Step 6: Final answer
    x = 13.96

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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.