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Finding the Fourth Proportional to 34.63, 47.76 and 22.96

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Solution

The fourth proportional to 34.63, 47.76 and 22.96 is: 31.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.63 : 47.76 = 22.96 : x
  2. Step 2: Convert to fraction form
    34.63/47.76 = 22.96/x
  3. Step 3: Cross multiply
    34.63x = 47.76 × 22.96
  4. Step 4: Simplify right side
    34.63x = 1,096.45
  5. Step 5: Solve for x
    x = 1,096.45/34.63
  6. Step 6: Final answer
    x = 31.66

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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.