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Finding the Fourth Proportional to 113.96, 157.94 and 106.94

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Solution

The fourth proportional to 113.96, 157.94 and 106.94 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.96 : 157.94 = 106.94 : x
  2. Step 2: Convert to fraction form
    113.96/157.94 = 106.94/x
  3. Step 3: Cross multiply
    113.96x = 157.94 × 106.94
  4. Step 4: Simplify right side
    113.96x = 16,890.10
  5. Step 5: Solve for x
    x = 16,890.10/113.96
  6. Step 6: Final answer
    x = 148.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.