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Finding the Fourth Proportional to 83.20, 122.07 and 83.20

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Solution

The fourth proportional to 83.20, 122.07 and 83.20 is: 122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.20 : 122.07 = 83.20 : x
  2. Step 2: Convert to fraction form
    83.20/122.07 = 83.20/x
  3. Step 3: Cross multiply
    83.20x = 122.07 × 83.20
  4. Step 4: Simplify right side
    83.20x = 10,156.22
  5. Step 5: Solve for x
    x = 10,156.22/83.20
  6. Step 6: Final answer
    x = 122.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.