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Finding the Fourth Proportional to 113.37, 168.98 and 109.95

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Solution

The fourth proportional to 113.37, 168.98 and 109.95 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.37 : 168.98 = 109.95 : x
  2. Step 2: Convert to fraction form
    113.37/168.98 = 109.95/x
  3. Step 3: Cross multiply
    113.37x = 168.98 × 109.95
  4. Step 4: Simplify right side
    113.37x = 18,579.35
  5. Step 5: Solve for x
    x = 18,579.35/113.37
  6. Step 6: Final answer
    x = 163.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.