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Finding the Fourth Proportional to 31.45, 46.90 and 29.83

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Solution

The fourth proportional to 31.45, 46.90 and 29.83 is: 44.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.45 : 46.90 = 29.83 : x
  2. Step 2: Convert to fraction form
    31.45/46.90 = 29.83/x
  3. Step 3: Cross multiply
    31.45x = 46.90 × 29.83
  4. Step 4: Simplify right side
    31.45x = 1,399.03
  5. Step 5: Solve for x
    x = 1,399.03/31.45
  6. Step 6: Final answer
    x = 44.48

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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.