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Finding the Fourth Proportional to 163.37, 244.87 and 71.98

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Solution

The fourth proportional to 163.37, 244.87 and 71.98 is: 107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.37 : 244.87 = 71.98 : x
  2. Step 2: Convert to fraction form
    163.37/244.87 = 71.98/x
  3. Step 3: Cross multiply
    163.37x = 244.87 × 71.98
  4. Step 4: Simplify right side
    163.37x = 17,625.74
  5. Step 5: Solve for x
    x = 17,625.74/163.37
  6. Step 6: Final answer
    x = 107.89

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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.