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Finding the Fourth Proportional to 109.80, 163.80 and 96.30

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Solution

The fourth proportional to 109.80, 163.80 and 96.30 is: 143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 163.80 = 96.30 : x
  2. Step 2: Convert to fraction form
    109.80/163.80 = 96.30/x
  3. Step 3: Cross multiply
    109.80x = 163.80 × 96.30
  4. Step 4: Simplify right side
    109.80x = 15,773.94
  5. Step 5: Solve for x
    x = 15,773.94/109.80
  6. Step 6: Final answer
    x = 143.66

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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.