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Finding the Fourth Proportional to 100.73, 138.84 and 96.95

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Solution

The fourth proportional to 100.73, 138.84 and 96.95 is: 133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.73 : 138.84 = 96.95 : x
  2. Step 2: Convert to fraction form
    100.73/138.84 = 96.95/x
  3. Step 3: Cross multiply
    100.73x = 138.84 × 96.95
  4. Step 4: Simplify right side
    100.73x = 13,460.54
  5. Step 5: Solve for x
    x = 13,460.54/100.73
  6. Step 6: Final answer
    x = 133.63

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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.