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Finding the Fourth Proportional to 11.14, 15.36 and 8.07

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Solution

The fourth proportional to 11.14, 15.36 and 8.07 is: 11.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.14 : 15.36 = 8.07 : x
  2. Step 2: Convert to fraction form
    11.14/15.36 = 8.07/x
  3. Step 3: Cross multiply
    11.14x = 15.36 × 8.07
  4. Step 4: Simplify right side
    11.14x = 123.96
  5. Step 5: Solve for x
    x = 123.96/11.14
  6. Step 6: Final answer
    x = 11.13

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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.