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Finding the Fourth Proportional to 109.07, 163.61 and 92.93

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Solution

The fourth proportional to 109.07, 163.61 and 92.93 is: 139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.07 : 163.61 = 92.93 : x
  2. Step 2: Convert to fraction form
    109.07/163.61 = 92.93/x
  3. Step 3: Cross multiply
    109.07x = 163.61 × 92.93
  4. Step 4: Simplify right side
    109.07x = 15,204.45
  5. Step 5: Solve for x
    x = 15,204.45/109.07
  6. Step 6: Final answer
    x = 139.41

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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.