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Finding the Fourth Proportional to 47.35, 71.04 and 22.96

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Solution

The fourth proportional to 47.35, 71.04 and 22.96 is: 34.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.35 : 71.04 = 22.96 : x
  2. Step 2: Convert to fraction form
    47.35/71.04 = 22.96/x
  3. Step 3: Cross multiply
    47.35x = 71.04 × 22.96
  4. Step 4: Simplify right side
    47.35x = 1,630.99
  5. Step 5: Solve for x
    x = 1,630.99/47.35
  6. Step 6: Final answer
    x = 34.45

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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.