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Finding the Fourth Proportional to 203.54, 305.50 and 107.42

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Solution

The fourth proportional to 203.54, 305.50 and 107.42 is: 161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.54 : 305.50 = 107.42 : x
  2. Step 2: Convert to fraction form
    203.54/305.50 = 107.42/x
  3. Step 3: Cross multiply
    203.54x = 305.50 × 107.42
  4. Step 4: Simplify right side
    203.54x = 32,816.81
  5. Step 5: Solve for x
    x = 32,816.81/203.54
  6. Step 6: Final answer
    x = 161.23

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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.