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Finding the Fourth Proportional to 44.21, 61 and 31.78

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Solution

The fourth proportional to 44.21, 61 and 31.78 is: 43.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.21 : 61 = 31.78 : x
  2. Step 2: Convert to fraction form
    44.21/61 = 31.78/x
  3. Step 3: Cross multiply
    44.21x = 61 × 31.78
  4. Step 4: Simplify right side
    44.21x = 1,938.58
  5. Step 5: Solve for x
    x = 1,938.58/44.21
  6. Step 6: Final answer
    x = 43.85

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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.