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Finding the Fourth Proportional to 113.40, 168.89 and 111.98

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Solution

The fourth proportional to 113.40, 168.89 and 111.98 is: 166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 168.89 = 111.98 : x
  2. Step 2: Convert to fraction form
    113.40/168.89 = 111.98/x
  3. Step 3: Cross multiply
    113.40x = 168.89 × 111.98
  4. Step 4: Simplify right side
    113.40x = 18,912.16
  5. Step 5: Solve for x
    x = 18,912.16/113.40
  6. Step 6: Final answer
    x = 166.77

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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.