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Finding the Fourth Proportional to 146.26, 201.87 and 84.10

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Solution

The fourth proportional to 146.26, 201.87 and 84.10 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.26 : 201.87 = 84.10 : x
  2. Step 2: Convert to fraction form
    146.26/201.87 = 84.10/x
  3. Step 3: Cross multiply
    146.26x = 201.87 × 84.10
  4. Step 4: Simplify right side
    146.26x = 16,977.27
  5. Step 5: Solve for x
    x = 16,977.27/146.26
  6. Step 6: Final answer
    x = 116.08

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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.