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Finding the Fourth Proportional to 146.20, 201.72 and 109.48

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Solution

The fourth proportional to 146.20, 201.72 and 109.48 is: 151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.20 : 201.72 = 109.48 : x
  2. Step 2: Convert to fraction form
    146.20/201.72 = 109.48/x
  3. Step 3: Cross multiply
    146.20x = 201.72 × 109.48
  4. Step 4: Simplify right side
    146.20x = 22,084.31
  5. Step 5: Solve for x
    x = 22,084.31/146.20
  6. Step 6: Final answer
    x = 151.06

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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.