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Finding the Fourth Proportional to 44.27, 61.00 and 35.05

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Solution

The fourth proportional to 44.27, 61.00 and 35.05 is: 48.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.27 : 61.00 = 35.05 : x
  2. Step 2: Convert to fraction form
    44.27/61.00 = 35.05/x
  3. Step 3: Cross multiply
    44.27x = 61.00 × 35.05
  4. Step 4: Simplify right side
    44.27x = 2,137.64
  5. Step 5: Solve for x
    x = 2,137.64/44.27
  6. Step 6: Final answer
    x = 48.28

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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.