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Finding the Fourth Proportional to 192.91, 289.16 and 106.07

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Solution

The fourth proportional to 192.91, 289.16 and 106.07 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.91 : 289.16 = 106.07 : x
  2. Step 2: Convert to fraction form
    192.91/289.16 = 106.07/x
  3. Step 3: Cross multiply
    192.91x = 289.16 × 106.07
  4. Step 4: Simplify right side
    192.91x = 30,670.02
  5. Step 5: Solve for x
    x = 30,670.02/192.91
  6. Step 6: Final answer
    x = 158.99

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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.