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Finding the Fourth Proportional to 131.78, 181.81 and 82.71

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Solution

The fourth proportional to 131.78, 181.81 and 82.71 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.78 : 181.81 = 82.71 : x
  2. Step 2: Convert to fraction form
    131.78/181.81 = 82.71/x
  3. Step 3: Cross multiply
    131.78x = 181.81 × 82.71
  4. Step 4: Simplify right side
    131.78x = 15,037.51
  5. Step 5: Solve for x
    x = 15,037.51/131.78
  6. Step 6: Final answer
    x = 114.11

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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.