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Finding the Fourth Proportional to 109.07, 162.89 and 94.67

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Solution

The fourth proportional to 109.07, 162.89 and 94.67 is: 141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.07 : 162.89 = 94.67 : x
  2. Step 2: Convert to fraction form
    109.07/162.89 = 94.67/x
  3. Step 3: Cross multiply
    109.07x = 162.89 × 94.67
  4. Step 4: Simplify right side
    109.07x = 15,420.21
  5. Step 5: Solve for x
    x = 15,420.21/109.07
  6. Step 6: Final answer
    x = 141.38

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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.