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Finding the Fourth Proportional to 146.27, 201.87 and 109.37

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Solution

The fourth proportional to 146.27, 201.87 and 109.37 is: 150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.27 : 201.87 = 109.37 : x
  2. Step 2: Convert to fraction form
    146.27/201.87 = 109.37/x
  3. Step 3: Cross multiply
    146.27x = 201.87 × 109.37
  4. Step 4: Simplify right side
    146.27x = 22,077.24
  5. Step 5: Solve for x
    x = 22,077.24/146.27
  6. Step 6: Final answer
    x = 150.93

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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.