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Finding the Fourth Proportional to 163.46, 245.06 and 105.70

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Solution

The fourth proportional to 163.46, 245.06 and 105.70 is: 158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.46 : 245.06 = 105.70 : x
  2. Step 2: Convert to fraction form
    163.46/245.06 = 105.70/x
  3. Step 3: Cross multiply
    163.46x = 245.06 × 105.70
  4. Step 4: Simplify right side
    163.46x = 25,902.84
  5. Step 5: Solve for x
    x = 25,902.84/163.46
  6. Step 6: Final answer
    x = 158.47

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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.