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Finding the Fourth Proportional to 146.20, 201.52 and 107.32

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Solution

The fourth proportional to 146.20, 201.52 and 107.32 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.20 : 201.52 = 107.32 : x
  2. Step 2: Convert to fraction form
    146.20/201.52 = 107.32/x
  3. Step 3: Cross multiply
    146.20x = 201.52 × 107.32
  4. Step 4: Simplify right side
    146.20x = 21,627.13
  5. Step 5: Solve for x
    x = 21,627.13/146.20
  6. Step 6: Final answer
    x = 147.93

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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.