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Finding the Fourth Proportional to 192.05, 287.96 and 70.24

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Solution

The fourth proportional to 192.05, 287.96 and 70.24 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 287.96 = 70.24 : x
  2. Step 2: Convert to fraction form
    192.05/287.96 = 70.24/x
  3. Step 3: Cross multiply
    192.05x = 287.96 × 70.24
  4. Step 4: Simplify right side
    192.05x = 20,226.59
  5. Step 5: Solve for x
    x = 20,226.59/192.05
  6. Step 6: Final answer
    x = 105.32

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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.