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Finding the Fourth Proportional to 146.37, 201.83 and 123.04

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Solution

The fourth proportional to 146.37, 201.83 and 123.04 is: 169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.37 : 201.83 = 123.04 : x
  2. Step 2: Convert to fraction form
    146.37/201.83 = 123.04/x
  3. Step 3: Cross multiply
    146.37x = 201.83 × 123.04
  4. Step 4: Simplify right side
    146.37x = 24,832.15
  5. Step 5: Solve for x
    x = 24,832.15/146.37
  6. Step 6: Final answer
    x = 169.66

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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.