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Finding the Fourth Proportional to 11.43, 15.74 and 10.14

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Solution

The fourth proportional to 11.43, 15.74 and 10.14 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.43 : 15.74 = 10.14 : x
  2. Step 2: Convert to fraction form
    11.43/15.74 = 10.14/x
  3. Step 3: Cross multiply
    11.43x = 15.74 × 10.14
  4. Step 4: Simplify right side
    11.43x = 159.55
  5. Step 5: Solve for x
    x = 159.55/11.43
  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.