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Finding the Fourth Proportional to 146.50, 201.91 and 107.15

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Solution

The fourth proportional to 146.50, 201.91 and 107.15 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.50 : 201.91 = 107.15 : x
  2. Step 2: Convert to fraction form
    146.50/201.91 = 107.15/x
  3. Step 3: Cross multiply
    146.50x = 201.91 × 107.15
  4. Step 4: Simplify right side
    146.50x = 21,634.66
  5. Step 5: Solve for x
    x = 21,634.66/146.50
  6. Step 6: Final answer
    x = 147.68

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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.