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Finding the Fourth Proportional to 146.33, 201.80 and 105.09

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Solution

The fourth proportional to 146.33, 201.80 and 105.09 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.33 : 201.80 = 105.09 : x
  2. Step 2: Convert to fraction form
    146.33/201.80 = 105.09/x
  3. Step 3: Cross multiply
    146.33x = 201.80 × 105.09
  4. Step 4: Simplify right side
    146.33x = 21,207.42
  5. Step 5: Solve for x
    x = 21,207.42/146.33
  6. Step 6: Final answer
    x = 144.93

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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.