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Finding the Fourth Proportional to 44.20, 65.82 and 44.14

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Solution

The fourth proportional to 44.20, 65.82 and 44.14 is: 65.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.20 : 65.82 = 44.14 : x
  2. Step 2: Convert to fraction form
    44.20/65.82 = 44.14/x
  3. Step 3: Cross multiply
    44.20x = 65.82 × 44.14
  4. Step 4: Simplify right side
    44.20x = 2,905.29
  5. Step 5: Solve for x
    x = 2,905.29/44.20
  6. Step 6: Final answer
    x = 65.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.