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Finding the Fourth Proportional to 8.00, 11.97 and 4.61

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Solution

The fourth proportional to 8.00, 11.97 and 4.61 is: 6.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.00 : 11.97 = 4.61 : x
  2. Step 2: Convert to fraction form
    8.00/11.97 = 4.61/x
  3. Step 3: Cross multiply
    8.00x = 11.97 × 4.61
  4. Step 4: Simplify right side
    8.00x = 55.16
  5. Step 5: Solve for x
    x = 55.16/8.00
  6. Step 6: Final answer
    x = 6.90

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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.