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Finding the Fourth Proportional to 30.82, 42.41 and 30.10

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Solution

The fourth proportional to 30.82, 42.41 and 30.10 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.82 : 42.41 = 30.10 : x
  2. Step 2: Convert to fraction form
    30.82/42.41 = 30.10/x
  3. Step 3: Cross multiply
    30.82x = 42.41 × 30.10
  4. Step 4: Simplify right side
    30.82x = 1,276.54
  5. Step 5: Solve for x
    x = 1,276.54/30.82
  6. Step 6: Final answer
    x = 41.42

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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.