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Finding the Fourth Proportional to 109.02, 163.55 and 31.98

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Solution

The fourth proportional to 109.02, 163.55 and 31.98 is: 47.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 163.55 = 31.98 : x
  2. Step 2: Convert to fraction form
    109.02/163.55 = 31.98/x
  3. Step 3: Cross multiply
    109.02x = 163.55 × 31.98
  4. Step 4: Simplify right side
    109.02x = 5,229.51
  5. Step 5: Solve for x
    x = 5,229.51/109.02
  6. Step 6: Final answer
    x = 47.97

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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.