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Finding the Fourth Proportional to 163.96, 245.92 and 99.70

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Solution

The fourth proportional to 163.96, 245.92 and 99.70 is: 149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 245.92 = 99.70 : x
  2. Step 2: Convert to fraction form
    163.96/245.92 = 99.70/x
  3. Step 3: Cross multiply
    163.96x = 245.92 × 99.70
  4. Step 4: Simplify right side
    163.96x = 24,518.22
  5. Step 5: Solve for x
    x = 24,518.22/163.96
  6. Step 6: Final answer
    x = 149.54

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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.