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Finding the Fourth Proportional to 400.02, 599.98 and 107.54

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Solution

The fourth proportional to 400.02, 599.98 and 107.54 is: 161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 599.98 = 107.54 : x
  2. Step 2: Convert to fraction form
    400.02/599.98 = 107.54/x
  3. Step 3: Cross multiply
    400.02x = 599.98 × 107.54
  4. Step 4: Simplify right side
    400.02x = 64,523.08
  5. Step 5: Solve for x
    x = 64,523.08/400.02
  6. Step 6: Final answer
    x = 161.30

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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.