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Finding the Fourth Proportional to 163.84, 245.84 and 82.74

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Solution

The fourth proportional to 163.84, 245.84 and 82.74 is: 124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.84 : 245.84 = 82.74 : x
  2. Step 2: Convert to fraction form
    163.84/245.84 = 82.74/x
  3. Step 3: Cross multiply
    163.84x = 245.84 × 82.74
  4. Step 4: Simplify right side
    163.84x = 20,339.47
  5. Step 5: Solve for x
    x = 20,339.47/163.84
  6. Step 6: Final answer
    x = 124.14

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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.