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Finding the Fourth Proportional to 101.10, 138.07 and 100.02

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Solution

The fourth proportional to 101.10, 138.07 and 100.02 is: 136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.10 : 138.07 = 100.02 : x
  2. Step 2: Convert to fraction form
    101.10/138.07 = 100.02/x
  3. Step 3: Cross multiply
    101.10x = 138.07 × 100.02
  4. Step 4: Simplify right side
    101.10x = 13,809.76
  5. Step 5: Solve for x
    x = 13,809.76/101.10
  6. Step 6: Final answer
    x = 136.60

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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.