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Finding the Fourth Proportional to 99.82, 138.07 and 75.52

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Solution

The fourth proportional to 99.82, 138.07 and 75.52 is: 104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.82 : 138.07 = 75.52 : x
  2. Step 2: Convert to fraction form
    99.82/138.07 = 75.52/x
  3. Step 3: Cross multiply
    99.82x = 138.07 × 75.52
  4. Step 4: Simplify right side
    99.82x = 10,427.05
  5. Step 5: Solve for x
    x = 10,427.05/99.82
  6. Step 6: Final answer
    x = 104.46

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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.