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Finding the Fourth Proportional to 309.89, 464.82 and 81.89

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Solution

The fourth proportional to 309.89, 464.82 and 81.89 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.89 : 464.82 = 81.89 : x
  2. Step 2: Convert to fraction form
    309.89/464.82 = 81.89/x
  3. Step 3: Cross multiply
    309.89x = 464.82 × 81.89
  4. Step 4: Simplify right side
    309.89x = 38,064.11
  5. Step 5: Solve for x
    x = 38,064.11/309.89
  6. Step 6: Final answer
    x = 122.83

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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.