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Finding the Fourth Proportional to 118.10, 162.78 and 81.24

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Solution

The fourth proportional to 118.10, 162.78 and 81.24 is: 111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.10 : 162.78 = 81.24 : x
  2. Step 2: Convert to fraction form
    118.10/162.78 = 81.24/x
  3. Step 3: Cross multiply
    118.10x = 162.78 × 81.24
  4. Step 4: Simplify right side
    118.10x = 13,224.25
  5. Step 5: Solve for x
    x = 13,224.25/118.10
  6. Step 6: Final answer
    x = 111.97

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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.