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Finding the Fourth Proportional to 192.81, 289.09 and 106.19

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Solution

The fourth proportional to 192.81, 289.09 and 106.19 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.81 : 289.09 = 106.19 : x
  2. Step 2: Convert to fraction form
    192.81/289.09 = 106.19/x
  3. Step 3: Cross multiply
    192.81x = 289.09 × 106.19
  4. Step 4: Simplify right side
    192.81x = 30,697.13
  5. Step 5: Solve for x
    x = 30,697.13/192.81
  6. Step 6: Final answer
    x = 159.21

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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.