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Finding the Fourth Proportional to 47.65, 71.46 and 18.73

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Solution

The fourth proportional to 47.65, 71.46 and 18.73 is: 28.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.65 : 71.46 = 18.73 : x
  2. Step 2: Convert to fraction form
    47.65/71.46 = 18.73/x
  3. Step 3: Cross multiply
    47.65x = 71.46 × 18.73
  4. Step 4: Simplify right side
    47.65x = 1,337.99
  5. Step 5: Solve for x
    x = 1,337.99/47.65
  6. Step 6: Final answer
    x = 28.08

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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.