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Finding the Fourth Proportional to 30.97, 46.49 and 29.89

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Solution

The fourth proportional to 30.97, 46.49 and 29.89 is: 44.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 46.49 = 29.89 : x
  2. Step 2: Convert to fraction form
    30.97/46.49 = 29.89/x
  3. Step 3: Cross multiply
    30.97x = 46.49 × 29.89
  4. Step 4: Simplify right side
    30.97x = 1,389.32
  5. Step 5: Solve for x
    x = 1,389.32/30.97
  6. Step 6: Final answer
    x = 44.86

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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.