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Finding the Fourth Proportional to 131.19, 180.99 and 82.04

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Solution

The fourth proportional to 131.19, 180.99 and 82.04 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.19 : 180.99 = 82.04 : x
  2. Step 2: Convert to fraction form
    131.19/180.99 = 82.04/x
  3. Step 3: Cross multiply
    131.19x = 180.99 × 82.04
  4. Step 4: Simplify right side
    131.19x = 14,847.51
  5. Step 5: Solve for x
    x = 14,847.51/131.19
  6. Step 6: Final answer
    x = 113.18

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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.