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Finding the Fourth Proportional to 146.42, 219.52 and 68.29

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Solution

The fourth proportional to 146.42, 219.52 and 68.29 is: 102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 219.52 = 68.29 : x
  2. Step 2: Convert to fraction form
    146.42/219.52 = 68.29/x
  3. Step 3: Cross multiply
    146.42x = 219.52 × 68.29
  4. Step 4: Simplify right side
    146.42x = 14,990.30
  5. Step 5: Solve for x
    x = 14,990.30/146.42
  6. Step 6: Final answer
    x = 102.38

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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.