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Finding the Fourth Proportional to 131.87, 181.94 and 96.82

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Solution

The fourth proportional to 131.87, 181.94 and 96.82 is: 133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.87 : 181.94 = 96.82 : x
  2. Step 2: Convert to fraction form
    131.87/181.94 = 96.82/x
  3. Step 3: Cross multiply
    131.87x = 181.94 × 96.82
  4. Step 4: Simplify right side
    131.87x = 17,614.49
  5. Step 5: Solve for x
    x = 17,614.49/131.87
  6. Step 6: Final answer
    x = 133.57

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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.