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Finding the Fourth Proportional to 131.89, 181.81 and 105.75

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Solution

The fourth proportional to 131.89, 181.81 and 105.75 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.89 : 181.81 = 105.75 : x
  2. Step 2: Convert to fraction form
    131.89/181.81 = 105.75/x
  3. Step 3: Cross multiply
    131.89x = 181.81 × 105.75
  4. Step 4: Simplify right side
    131.89x = 19,226.41
  5. Step 5: Solve for x
    x = 19,226.41/131.89
  6. Step 6: Final answer
    x = 145.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.