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Finding the Fourth Proportional to 109.63, 163.99 and 100.42

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Solution

The fourth proportional to 109.63, 163.99 and 100.42 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 163.99 = 100.42 : x
  2. Step 2: Convert to fraction form
    109.63/163.99 = 100.42/x
  3. Step 3: Cross multiply
    109.63x = 163.99 × 100.42
  4. Step 4: Simplify right side
    109.63x = 16,466.55
  5. Step 5: Solve for x
    x = 16,466.55/109.63
  6. Step 6: Final answer
    x = 150.21

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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.