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Finding the Fourth Proportional to 141.23, 210.95 and 108.73

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Solution

The fourth proportional to 141.23, 210.95 and 108.73 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 210.95 = 108.73 : x
  2. Step 2: Convert to fraction form
    141.23/210.95 = 108.73/x
  3. Step 3: Cross multiply
    141.23x = 210.95 × 108.73
  4. Step 4: Simplify right side
    141.23x = 22,936.59
  5. Step 5: Solve for x
    x = 22,936.59/141.23
  6. Step 6: Final answer
    x = 162.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.