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Finding the Fourth Proportional to 30.49, 42.06 and 20.14

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Solution

The fourth proportional to 30.49, 42.06 and 20.14 is: 27.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.49 : 42.06 = 20.14 : x
  2. Step 2: Convert to fraction form
    30.49/42.06 = 20.14/x
  3. Step 3: Cross multiply
    30.49x = 42.06 × 20.14
  4. Step 4: Simplify right side
    30.49x = 847.09
  5. Step 5: Solve for x
    x = 847.09/30.49
  6. Step 6: Final answer
    x = 27.78

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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.