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Finding the Fourth Proportional to 119.34, 163.62 and 113.67

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Solution

The fourth proportional to 119.34, 163.62 and 113.67 is: 155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.34 : 163.62 = 113.67 : x
  2. Step 2: Convert to fraction form
    119.34/163.62 = 113.67/x
  3. Step 3: Cross multiply
    119.34x = 163.62 × 113.67
  4. Step 4: Simplify right side
    119.34x = 18,598.69
  5. Step 5: Solve for x
    x = 18,598.69/119.34
  6. Step 6: Final answer
    x = 155.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.