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Finding the Fourth Proportional to 146.31, 201.88 and 84.13

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Solution

The fourth proportional to 146.31, 201.88 and 84.13 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 201.88 = 84.13 : x
  2. Step 2: Convert to fraction form
    146.31/201.88 = 84.13/x
  3. Step 3: Cross multiply
    146.31x = 201.88 × 84.13
  4. Step 4: Simplify right side
    146.31x = 16,983.95
  5. Step 5: Solve for x
    x = 16,983.95/146.31
  6. Step 6: Final answer
    x = 116.09

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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.