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Finding the Fourth Proportional to 104.20, 142.76 and 103

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Solution

The fourth proportional to 104.20, 142.76 and 103 is: 141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.20 : 142.76 = 103 : x
  2. Step 2: Convert to fraction form
    104.20/142.76 = 103/x
  3. Step 3: Cross multiply
    104.20x = 142.76 × 103
  4. Step 4: Simplify right side
    104.20x = 14,704.28
  5. Step 5: Solve for x
    x = 14,704.28/104.20
  6. Step 6: Final answer
    x = 141.12

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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.