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Finding the Fourth Proportional to 9.05, 12.49 and 5.82

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Solution

The fourth proportional to 9.05, 12.49 and 5.82 is: 8.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.05 : 12.49 = 5.82 : x
  2. Step 2: Convert to fraction form
    9.05/12.49 = 5.82/x
  3. Step 3: Cross multiply
    9.05x = 12.49 × 5.82
  4. Step 4: Simplify right side
    9.05x = 72.69
  5. Step 5: Solve for x
    x = 72.69/9.05
  6. Step 6: Final answer
    x = 8.03

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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.