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Finding the Fourth Proportional to 11.37, 15.66 and 10.14

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Solution

The fourth proportional to 11.37, 15.66 and 10.14 is: 13.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.37 : 15.66 = 10.14 : x
  2. Step 2: Convert to fraction form
    11.37/15.66 = 10.14/x
  3. Step 3: Cross multiply
    11.37x = 15.66 × 10.14
  4. Step 4: Simplify right side
    11.37x = 158.79
  5. Step 5: Solve for x
    x = 158.79/11.37
  6. Step 6: Final answer
    x = 13.97

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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.