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Finding the Fourth Proportional to 131.84, 182.26 and 116.44

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Solution

The fourth proportional to 131.84, 182.26 and 116.44 is: 160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 182.26 = 116.44 : x
  2. Step 2: Convert to fraction form
    131.84/182.26 = 116.44/x
  3. Step 3: Cross multiply
    131.84x = 182.26 × 116.44
  4. Step 4: Simplify right side
    131.84x = 21,222.35
  5. Step 5: Solve for x
    x = 21,222.35/131.84
  6. Step 6: Final answer
    x = 160.97

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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.