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Finding the Fourth Proportional to 30.80, 45.96 and 27.44

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Solution

The fourth proportional to 30.80, 45.96 and 27.44 is: 40.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 45.96 = 27.44 : x
  2. Step 2: Convert to fraction form
    30.80/45.96 = 27.44/x
  3. Step 3: Cross multiply
    30.80x = 45.96 × 27.44
  4. Step 4: Simplify right side
    30.80x = 1,261.14
  5. Step 5: Solve for x
    x = 1,261.14/30.80
  6. Step 6: Final answer
    x = 40.95

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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.