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Finding the Fourth Proportional to 44.31, 61.11 and 37.28

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Solution

The fourth proportional to 44.31, 61.11 and 37.28 is: 51.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.31 : 61.11 = 37.28 : x
  2. Step 2: Convert to fraction form
    44.31/61.11 = 37.28/x
  3. Step 3: Cross multiply
    44.31x = 61.11 × 37.28
  4. Step 4: Simplify right side
    44.31x = 2,278.18
  5. Step 5: Solve for x
    x = 2,278.18/44.31
  6. Step 6: Final answer
    x = 51.41

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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.