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Finding the Fourth Proportional to 131.89, 181.99 and 76.61

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Solution

The fourth proportional to 131.89, 181.99 and 76.61 is: 105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.89 : 181.99 = 76.61 : x
  2. Step 2: Convert to fraction form
    131.89/181.99 = 76.61/x
  3. Step 3: Cross multiply
    131.89x = 181.99 × 76.61
  4. Step 4: Simplify right side
    131.89x = 13,940.96
  5. Step 5: Solve for x
    x = 13,940.96/131.89
  6. Step 6: Final answer
    x = 105.71

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