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Finding the Fourth Proportional to 44.33, 66.33 and 30.83

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Solution

The fourth proportional to 44.33, 66.33 and 30.83 is: 46.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.33 : 66.33 = 30.83 : x
  2. Step 2: Convert to fraction form
    44.33/66.33 = 30.83/x
  3. Step 3: Cross multiply
    44.33x = 66.33 × 30.83
  4. Step 4: Simplify right side
    44.33x = 2,044.95
  5. Step 5: Solve for x
    x = 2,044.95/44.33
  6. Step 6: Final answer
    x = 46.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.