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Finding the Fourth Proportional to 146.81, 219.96 and 81.81

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Solution

The fourth proportional to 146.81, 219.96 and 81.81 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 219.96 = 81.81 : x
  2. Step 2: Convert to fraction form
    146.81/219.96 = 81.81/x
  3. Step 3: Cross multiply
    146.81x = 219.96 × 81.81
  4. Step 4: Simplify right side
    146.81x = 17,994.93
  5. Step 5: Solve for x
    x = 17,994.93/146.81
  6. Step 6: Final answer
    x = 122.58

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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.