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Finding the Fourth Proportional to 8.34, 11.49 and 5.91

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Solution

The fourth proportional to 8.34, 11.49 and 5.91 is: 8.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.34 : 11.49 = 5.91 : x
  2. Step 2: Convert to fraction form
    8.34/11.49 = 5.91/x
  3. Step 3: Cross multiply
    8.34x = 11.49 × 5.91
  4. Step 4: Simplify right side
    8.34x = 67.87
  5. Step 5: Solve for x
    x = 67.87/8.34
  6. Step 6: Final answer
    x = 8.14

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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.