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Finding the Fourth Proportional to 146.80, 202.62 and 105.45

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Solution

The fourth proportional to 146.80, 202.62 and 105.45 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 202.62 = 105.45 : x
  2. Step 2: Convert to fraction form
    146.80/202.62 = 105.45/x
  3. Step 3: Cross multiply
    146.80x = 202.62 × 105.45
  4. Step 4: Simplify right side
    146.80x = 21,365.27
  5. Step 5: Solve for x
    x = 21,365.27/146.80
  6. Step 6: Final answer
    x = 145.54

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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.