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Finding the Fourth Proportional to 47.73, 71.62 and 20.69

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Solution

The fourth proportional to 47.73, 71.62 and 20.69 is: 31.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.73 : 71.62 = 20.69 : x
  2. Step 2: Convert to fraction form
    47.73/71.62 = 20.69/x
  3. Step 3: Cross multiply
    47.73x = 71.62 × 20.69
  4. Step 4: Simplify right side
    47.73x = 1,482.05
  5. Step 5: Solve for x
    x = 1,482.05/47.73
  6. Step 6: Final answer
    x = 31.05

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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.