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Finding the Fourth Proportional to 44.25, 61.09 and 38.00

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Solution

The fourth proportional to 44.25, 61.09 and 38.00 is: 52.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.25 : 61.09 = 38.00 : x
  2. Step 2: Convert to fraction form
    44.25/61.09 = 38.00/x
  3. Step 3: Cross multiply
    44.25x = 61.09 × 38.00
  4. Step 4: Simplify right side
    44.25x = 2,321.48
  5. Step 5: Solve for x
    x = 2,321.48/44.25
  6. Step 6: Final answer
    x = 52.47

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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.