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Finding the Fourth Proportional to 9.42, 13.00 and 8.27

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Solution

The fourth proportional to 9.42, 13.00 and 8.27 is: 11.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 13.00 = 8.27 : x
  2. Step 2: Convert to fraction form
    9.42/13.00 = 8.27/x
  3. Step 3: Cross multiply
    9.42x = 13.00 × 8.27
  4. Step 4: Simplify right side
    9.42x = 107.46
  5. Step 5: Solve for x
    x = 107.46/9.42
  6. Step 6: Final answer
    x = 11.41

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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.