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Finding the Fourth Proportional to 30.83, 46.22 and 23.24

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Solution

The fourth proportional to 30.83, 46.22 and 23.24 is: 34.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.83 : 46.22 = 23.24 : x
  2. Step 2: Convert to fraction form
    30.83/46.22 = 23.24/x
  3. Step 3: Cross multiply
    30.83x = 46.22 × 23.24
  4. Step 4: Simplify right side
    30.83x = 1,074.02
  5. Step 5: Solve for x
    x = 1,074.02/30.83
  6. Step 6: Final answer
    x = 34.84

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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.