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Finding the Fourth Proportional to 11.31, 17.00 and 9.42

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Solution

The fourth proportional to 11.31, 17.00 and 9.42 is: 14.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.31 : 17.00 = 9.42 : x
  2. Step 2: Convert to fraction form
    11.31/17.00 = 9.42/x
  3. Step 3: Cross multiply
    11.31x = 17.00 × 9.42
  4. Step 4: Simplify right side
    11.31x = 160.09
  5. Step 5: Solve for x
    x = 160.09/11.31
  6. Step 6: Final answer
    x = 14.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.