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Finding the Fourth Proportional to 131.70, 181.64 and 116.96

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Solution

The fourth proportional to 131.70, 181.64 and 116.96 is: 161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 181.64 = 116.96 : x
  2. Step 2: Convert to fraction form
    131.70/181.64 = 116.96/x
  3. Step 3: Cross multiply
    131.70x = 181.64 × 116.96
  4. Step 4: Simplify right side
    131.70x = 21,244.61
  5. Step 5: Solve for x
    x = 21,244.61/131.70
  6. Step 6: Final answer
    x = 161.31

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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.