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Finding the Fourth Proportional to 34.05, 46.96 and 21.77

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Solution

The fourth proportional to 34.05, 46.96 and 21.77 is: 30.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.05 : 46.96 = 21.77 : x
  2. Step 2: Convert to fraction form
    34.05/46.96 = 21.77/x
  3. Step 3: Cross multiply
    34.05x = 46.96 × 21.77
  4. Step 4: Simplify right side
    34.05x = 1,022.21
  5. Step 5: Solve for x
    x = 1,022.21/34.05
  6. Step 6: Final answer
    x = 30.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.