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Finding the Fourth Proportional to 44.35, 66.67 and 30.83

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Solution

The fourth proportional to 44.35, 66.67 and 30.83 is: 46.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.35 : 66.67 = 30.83 : x
  2. Step 2: Convert to fraction form
    44.35/66.67 = 30.83/x
  3. Step 3: Cross multiply
    44.35x = 66.67 × 30.83
  4. Step 4: Simplify right side
    44.35x = 2,055.57
  5. Step 5: Solve for x
    x = 2,055.57/44.35
  6. Step 6: Final answer
    x = 46.35

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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.