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Finding the Fourth Proportional to 44.96, 61.96 and 35.72

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Solution

The fourth proportional to 44.96, 61.96 and 35.72 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.96 : 61.96 = 35.72 : x
  2. Step 2: Convert to fraction form
    44.96/61.96 = 35.72/x
  3. Step 3: Cross multiply
    44.96x = 61.96 × 35.72
  4. Step 4: Simplify right side
    44.96x = 2,213.21
  5. Step 5: Solve for x
    x = 2,213.21/44.96
  6. Step 6: Final answer
    x = 49.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.