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Finding the Fourth Proportional to 163.86, 245.94 and 102.25

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Solution

The fourth proportional to 163.86, 245.94 and 102.25 is: 153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.86 : 245.94 = 102.25 : x
  2. Step 2: Convert to fraction form
    163.86/245.94 = 102.25/x
  3. Step 3: Cross multiply
    163.86x = 245.94 × 102.25
  4. Step 4: Simplify right side
    163.86x = 25,147.37
  5. Step 5: Solve for x
    x = 25,147.37/163.86
  6. Step 6: Final answer
    x = 153.47

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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.