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Finding the Fourth Proportional to 146.21, 219.32 and 54.86

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Solution

The fourth proportional to 146.21, 219.32 and 54.86 is: 82.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.21 : 219.32 = 54.86 : x
  2. Step 2: Convert to fraction form
    146.21/219.32 = 54.86/x
  3. Step 3: Cross multiply
    146.21x = 219.32 × 54.86
  4. Step 4: Simplify right side
    146.21x = 12,030.94
  5. Step 5: Solve for x
    x = 12,030.94/146.21
  6. Step 6: Final answer
    x = 82.28

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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.