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Finding the Fourth Proportional to 118.05, 162.84 and 81.23

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Solution

The fourth proportional to 118.05, 162.84 and 81.23 is: 112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 162.84 = 81.23 : x
  2. Step 2: Convert to fraction form
    118.05/162.84 = 81.23/x
  3. Step 3: Cross multiply
    118.05x = 162.84 × 81.23
  4. Step 4: Simplify right side
    118.05x = 13,226.98
  5. Step 5: Solve for x
    x = 13,226.98/118.05
  6. Step 6: Final answer
    x = 112.05

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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.