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Finding the Fourth Proportional to 47.46, 71.15 and 23.39

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Solution

The fourth proportional to 47.46, 71.15 and 23.39 is: 35.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.46 : 71.15 = 23.39 : x
  2. Step 2: Convert to fraction form
    47.46/71.15 = 23.39/x
  3. Step 3: Cross multiply
    47.46x = 71.15 × 23.39
  4. Step 4: Simplify right side
    47.46x = 1,663.73
  5. Step 5: Solve for x
    x = 1,663.73/47.46
  6. Step 6: Final answer
    x = 35.06

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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.