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Finding the Fourth Proportional to 103.10, 140.81 and 102.02

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Solution

The fourth proportional to 103.10, 140.81 and 102.02 is: 139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 140.81 = 102.02 : x
  2. Step 2: Convert to fraction form
    103.10/140.81 = 102.02/x
  3. Step 3: Cross multiply
    103.10x = 140.81 × 102.02
  4. Step 4: Simplify right side
    103.10x = 14,365.44
  5. Step 5: Solve for x
    x = 14,365.44/103.10
  6. Step 6: Final answer
    x = 139.33

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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.