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Finding the Fourth Proportional to 131.74, 181.82 and 120.80

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Solution

The fourth proportional to 131.74, 181.82 and 120.80 is: 166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.74 : 181.82 = 120.80 : x
  2. Step 2: Convert to fraction form
    131.74/181.82 = 120.80/x
  3. Step 3: Cross multiply
    131.74x = 181.82 × 120.80
  4. Step 4: Simplify right side
    131.74x = 21,963.86
  5. Step 5: Solve for x
    x = 21,963.86/131.74
  6. Step 6: Final answer
    x = 166.72

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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.