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Finding the Fourth Proportional to 131.90, 182.06 and 105.85

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Solution

The fourth proportional to 131.90, 182.06 and 105.85 is: 146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 182.06 = 105.85 : x
  2. Step 2: Convert to fraction form
    131.90/182.06 = 105.85/x
  3. Step 3: Cross multiply
    131.90x = 182.06 × 105.85
  4. Step 4: Simplify right side
    131.90x = 19,270.07
  5. Step 5: Solve for x
    x = 19,270.07/131.90
  6. Step 6: Final answer
    x = 146.09

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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.