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Finding the Fourth Proportional to 131.76, 181.94 and 82.71

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Solution

The fourth proportional to 131.76, 181.94 and 82.71 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 181.94 = 82.71 : x
  2. Step 2: Convert to fraction form
    131.76/181.94 = 82.71/x
  3. Step 3: Cross multiply
    131.76x = 181.94 × 82.71
  4. Step 4: Simplify right side
    131.76x = 15,047.84
  5. Step 5: Solve for x
    x = 15,047.84/131.76
  6. Step 6: Final answer
    x = 114.21

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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.