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Finding the Fourth Proportional to 146.94, 202.32 and 103.20

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Solution

The fourth proportional to 146.94, 202.32 and 103.20 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 202.32 = 103.20 : x
  2. Step 2: Convert to fraction form
    146.94/202.32 = 103.20/x
  3. Step 3: Cross multiply
    146.94x = 202.32 × 103.20
  4. Step 4: Simplify right side
    146.94x = 20,879.42
  5. Step 5: Solve for x
    x = 20,879.42/146.94
  6. Step 6: Final answer
    x = 142.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.