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Finding the Fourth Proportional to 99.96, 137.99 and 75.59

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Solution

The fourth proportional to 99.96, 137.99 and 75.59 is: 104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.96 : 137.99 = 75.59 : x
  2. Step 2: Convert to fraction form
    99.96/137.99 = 75.59/x
  3. Step 3: Cross multiply
    99.96x = 137.99 × 75.59
  4. Step 4: Simplify right side
    99.96x = 10,431.20
  5. Step 5: Solve for x
    x = 10,431.20/99.96
  6. Step 6: Final answer
    x = 104.35

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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.