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Finding the Fourth Proportional to 81.83, 122.77 and 30.49

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Solution

The fourth proportional to 81.83, 122.77 and 30.49 is: 45.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.83 : 122.77 = 30.49 : x
  2. Step 2: Convert to fraction form
    81.83/122.77 = 30.49/x
  3. Step 3: Cross multiply
    81.83x = 122.77 × 30.49
  4. Step 4: Simplify right side
    81.83x = 3,743.51
  5. Step 5: Solve for x
    x = 3,743.51/81.83
  6. Step 6: Final answer
    x = 45.75

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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.