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Finding the Fourth Proportional to 163.76, 245.46 and 82.58

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Solution

The fourth proportional to 163.76, 245.46 and 82.58 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 245.46 = 82.58 : x
  2. Step 2: Convert to fraction form
    163.76/245.46 = 82.58/x
  3. Step 3: Cross multiply
    163.76x = 245.46 × 82.58
  4. Step 4: Simplify right side
    163.76x = 20,270.09
  5. Step 5: Solve for x
    x = 20,270.09/163.76
  6. Step 6: Final answer
    x = 123.78

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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.