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Finding the Fourth Proportional to 192.02, 288.02 and 68.62

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Solution

The fourth proportional to 192.02, 288.02 and 68.62 is: 102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 288.02 = 68.62 : x
  2. Step 2: Convert to fraction form
    192.02/288.02 = 68.62/x
  3. Step 3: Cross multiply
    192.02x = 288.02 × 68.62
  4. Step 4: Simplify right side
    192.02x = 19,763.93
  5. Step 5: Solve for x
    x = 19,763.93/192.02
  6. Step 6: Final answer
    x = 102.93

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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.