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Finding the Fourth Proportional to 109.68, 163.68 and 98.28

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Solution

The fourth proportional to 109.68, 163.68 and 98.28 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.68 : 163.68 = 98.28 : x
  2. Step 2: Convert to fraction form
    109.68/163.68 = 98.28/x
  3. Step 3: Cross multiply
    109.68x = 163.68 × 98.28
  4. Step 4: Simplify right side
    109.68x = 16,086.47
  5. Step 5: Solve for x
    x = 16,086.47/109.68
  6. Step 6: Final answer
    x = 146.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.