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Finding the Fourth Proportional to 146.14, 201.69 and 84.00

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Solution

The fourth proportional to 146.14, 201.69 and 84.00 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.14 : 201.69 = 84.00 : x
  2. Step 2: Convert to fraction form
    146.14/201.69 = 84.00/x
  3. Step 3: Cross multiply
    146.14x = 201.69 × 84.00
  4. Step 4: Simplify right side
    146.14x = 16,942.72
  5. Step 5: Solve for x
    x = 16,942.72/146.14
  6. Step 6: Final answer
    x = 115.94

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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.