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Finding the Fourth Proportional to 44.09, 60.71 and 36.80

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Solution

The fourth proportional to 44.09, 60.71 and 36.80 is: 50.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.09 : 60.71 = 36.80 : x
  2. Step 2: Convert to fraction form
    44.09/60.71 = 36.80/x
  3. Step 3: Cross multiply
    44.09x = 60.71 × 36.80
  4. Step 4: Simplify right side
    44.09x = 2,233.64
  5. Step 5: Solve for x
    x = 2,233.64/44.09
  6. Step 6: Final answer
    x = 50.67

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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.