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Finding the Fourth Proportional to 118.02, 162.73 and 82

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Solution

The fourth proportional to 118.02, 162.73 and 82 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 162.73 = 82 : x
  2. Step 2: Convert to fraction form
    118.02/162.73 = 82/x
  3. Step 3: Cross multiply
    118.02x = 162.73 × 82
  4. Step 4: Simplify right side
    118.02x = 13,343.45
  5. Step 5: Solve for x
    x = 13,343.45/118.02
  6. Step 6: Final answer
    x = 113.06

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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.