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Finding the Fourth Proportional to 101.10, 138.22 and 99.52

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Solution

The fourth proportional to 101.10, 138.22 and 99.52 is: 136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.10 : 138.22 = 99.52 : x
  2. Step 2: Convert to fraction form
    101.10/138.22 = 99.52/x
  3. Step 3: Cross multiply
    101.10x = 138.22 × 99.52
  4. Step 4: Simplify right side
    101.10x = 13,755.65
  5. Step 5: Solve for x
    x = 13,755.65/101.10
  6. Step 6: Final answer
    x = 136.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.