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Finding the Fourth Proportional to 131.94, 198.76 and 120.66

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Solution

The fourth proportional to 131.94, 198.76 and 120.66 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.94 : 198.76 = 120.66 : x
  2. Step 2: Convert to fraction form
    131.94/198.76 = 120.66/x
  3. Step 3: Cross multiply
    131.94x = 198.76 × 120.66
  4. Step 4: Simplify right side
    131.94x = 23,982.53
  5. Step 5: Solve for x
    x = 23,982.53/131.94
  6. Step 6: Final answer
    x = 181.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.