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Finding the Fourth Proportional to 30.49, 42.14 and 22.73

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Solution

The fourth proportional to 30.49, 42.14 and 22.73 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.49 : 42.14 = 22.73 : x
  2. Step 2: Convert to fraction form
    30.49/42.14 = 22.73/x
  3. Step 3: Cross multiply
    30.49x = 42.14 × 22.73
  4. Step 4: Simplify right side
    30.49x = 957.84
  5. Step 5: Solve for x
    x = 957.84/30.49
  6. Step 6: Final answer
    x = 31.41

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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.