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Finding the Fourth Proportional to 34.57, 47.70 and 22.31

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Solution

The fourth proportional to 34.57, 47.70 and 22.31 is: 30.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.57 : 47.70 = 22.31 : x
  2. Step 2: Convert to fraction form
    34.57/47.70 = 22.31/x
  3. Step 3: Cross multiply
    34.57x = 47.70 × 22.31
  4. Step 4: Simplify right side
    34.57x = 1,063.84
  5. Step 5: Solve for x
    x = 1,063.84/34.57
  6. Step 6: Final answer
    x = 30.77

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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.