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Finding the Fourth Proportional to 109.24, 163.70 and 103.47

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Solution

The fourth proportional to 109.24, 163.70 and 103.47 is: 155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.24 : 163.70 = 103.47 : x
  2. Step 2: Convert to fraction form
    109.24/163.70 = 103.47/x
  3. Step 3: Cross multiply
    109.24x = 163.70 × 103.47
  4. Step 4: Simplify right side
    109.24x = 16,938.04
  5. Step 5: Solve for x
    x = 16,938.04/109.24
  6. Step 6: Final answer
    x = 155.05

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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.