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Finding the Fourth Proportional to 163.92, 246.01 and 95.34

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Solution

The fourth proportional to 163.92, 246.01 and 95.34 is: 143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 246.01 = 95.34 : x
  2. Step 2: Convert to fraction form
    163.92/246.01 = 95.34/x
  3. Step 3: Cross multiply
    163.92x = 246.01 × 95.34
  4. Step 4: Simplify right side
    163.92x = 23,455.45
  5. Step 5: Solve for x
    x = 23,455.45/163.92
  6. Step 6: Final answer
    x = 143.10

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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.