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Finding the Fourth Proportional to 146.10, 219.14 and 36.41

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Solution

The fourth proportional to 146.10, 219.14 and 36.41 is: 54.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.10 : 219.14 = 36.41 : x
  2. Step 2: Convert to fraction form
    146.10/219.14 = 36.41/x
  3. Step 3: Cross multiply
    146.10x = 219.14 × 36.41
  4. Step 4: Simplify right side
    146.10x = 7,978.43
  5. Step 5: Solve for x
    x = 7,978.43/146.10
  6. Step 6: Final answer
    x = 54.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.