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Finding the Fourth Proportional to 44.07, 66.05 and 35.96

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Solution

The fourth proportional to 44.07, 66.05 and 35.96 is: 53.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.07 : 66.05 = 35.96 : x
  2. Step 2: Convert to fraction form
    44.07/66.05 = 35.96/x
  3. Step 3: Cross multiply
    44.07x = 66.05 × 35.96
  4. Step 4: Simplify right side
    44.07x = 2,375.03
  5. Step 5: Solve for x
    x = 2,375.03/44.07
  6. Step 6: Final answer
    x = 53.89

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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.