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Finding the Fourth Proportional to 122.20, 165.94 and 122.20

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Solution

The fourth proportional to 122.20, 165.94 and 122.20 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 165.94 = 122.20 : x
  2. Step 2: Convert to fraction form
    122.20/165.94 = 122.20/x
  3. Step 3: Cross multiply
    122.20x = 165.94 × 122.20
  4. Step 4: Simplify right side
    122.20x = 20,277.87
  5. Step 5: Solve for x
    x = 20,277.87/122.20
  6. Step 6: Final answer
    x = 165.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.