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Finding the Fourth Proportional to 30.97, 46.22 and 28.94

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Solution

The fourth proportional to 30.97, 46.22 and 28.94 is: 43.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 46.22 = 28.94 : x
  2. Step 2: Convert to fraction form
    30.97/46.22 = 28.94/x
  3. Step 3: Cross multiply
    30.97x = 46.22 × 28.94
  4. Step 4: Simplify right side
    30.97x = 1,337.61
  5. Step 5: Solve for x
    x = 1,337.61/30.97
  6. Step 6: Final answer
    x = 43.20

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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.