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Finding the Fourth Proportional to 44, 60.77 and 36.80

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Solution

The fourth proportional to 44, 60.77 and 36.80 is: 50.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44 : 60.77 = 36.80 : x
  2. Step 2: Convert to fraction form
    44/60.77 = 36.80/x
  3. Step 3: Cross multiply
    44x = 60.77 × 36.80
  4. Step 4: Simplify right side
    44x = 2,236.34
  5. Step 5: Solve for x
    x = 2,236.34/44
  6. Step 6: Final answer
    x = 50.83

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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.