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Finding the Fourth Proportional to 163.37, 245.07 and 47.83

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Solution

The fourth proportional to 163.37, 245.07 and 47.83 is: 71.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.37 : 245.07 = 47.83 : x
  2. Step 2: Convert to fraction form
    163.37/245.07 = 47.83/x
  3. Step 3: Cross multiply
    163.37x = 245.07 × 47.83
  4. Step 4: Simplify right side
    163.37x = 11,721.70
  5. Step 5: Solve for x
    x = 11,721.70/163.37
  6. Step 6: Final answer
    x = 71.75

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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.