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Finding the Fourth Proportional to 30.97, 46.50 and 22.42

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Solution

The fourth proportional to 30.97, 46.50 and 22.42 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 46.50 = 22.42 : x
  2. Step 2: Convert to fraction form
    30.97/46.50 = 22.42/x
  3. Step 3: Cross multiply
    30.97x = 46.50 × 22.42
  4. Step 4: Simplify right side
    30.97x = 1,042.53
  5. Step 5: Solve for x
    x = 1,042.53/30.97
  6. Step 6: Final answer
    x = 33.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.