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Finding the Fourth Proportional to 146.40, 219.64 and 105.19

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Solution

The fourth proportional to 146.40, 219.64 and 105.19 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 219.64 = 105.19 : x
  2. Step 2: Convert to fraction form
    146.40/219.64 = 105.19/x
  3. Step 3: Cross multiply
    146.40x = 219.64 × 105.19
  4. Step 4: Simplify right side
    146.40x = 23,103.93
  5. Step 5: Solve for x
    x = 23,103.93/146.40
  6. Step 6: Final answer
    x = 157.81

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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.