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Finding the Fourth Proportional to 163.62, 245.41 and 109.76

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Solution

The fourth proportional to 163.62, 245.41 and 109.76 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.62 : 245.41 = 109.76 : x
  2. Step 2: Convert to fraction form
    163.62/245.41 = 109.76/x
  3. Step 3: Cross multiply
    163.62x = 245.41 × 109.76
  4. Step 4: Simplify right side
    163.62x = 26,934.70
  5. Step 5: Solve for x
    x = 26,934.70/163.62
  6. Step 6: Final answer
    x = 164.62

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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.