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Finding the Fourth Proportional to 100.17, 137.91 and 95.73

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Solution

The fourth proportional to 100.17, 137.91 and 95.73 is: 131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.17 : 137.91 = 95.73 : x
  2. Step 2: Convert to fraction form
    100.17/137.91 = 95.73/x
  3. Step 3: Cross multiply
    100.17x = 137.91 × 95.73
  4. Step 4: Simplify right side
    100.17x = 13,202.12
  5. Step 5: Solve for x
    x = 13,202.12/100.17
  6. Step 6: Final answer
    x = 131.80

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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.