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Finding the Fourth Proportional to 109.14, 163.92 and 94.02

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Solution

The fourth proportional to 109.14, 163.92 and 94.02 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 163.92 = 94.02 : x
  2. Step 2: Convert to fraction form
    109.14/163.92 = 94.02/x
  3. Step 3: Cross multiply
    109.14x = 163.92 × 94.02
  4. Step 4: Simplify right side
    109.14x = 15,411.76
  5. Step 5: Solve for x
    x = 15,411.76/109.14
  6. Step 6: Final answer
    x = 141.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.