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Finding the Fourth Proportional to 146.23, 201.80 and 80.74

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Solution

The fourth proportional to 146.23, 201.80 and 80.74 is: 111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 201.80 = 80.74 : x
  2. Step 2: Convert to fraction form
    146.23/201.80 = 80.74/x
  3. Step 3: Cross multiply
    146.23x = 201.80 × 80.74
  4. Step 4: Simplify right side
    146.23x = 16,293.03
  5. Step 5: Solve for x
    x = 16,293.03/146.23
  6. Step 6: Final answer
    x = 111.42

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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.