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Finding the Fourth Proportional to 192.61, 289.03 and 70.96

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Solution

The fourth proportional to 192.61, 289.03 and 70.96 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.61 : 289.03 = 70.96 : x
  2. Step 2: Convert to fraction form
    192.61/289.03 = 70.96/x
  3. Step 3: Cross multiply
    192.61x = 289.03 × 70.96
  4. Step 4: Simplify right side
    192.61x = 20,510.22
  5. Step 5: Solve for x
    x = 20,510.22/192.61
  6. Step 6: Final answer
    x = 106.48

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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.