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Finding the Fourth Proportional to 122.10, 186.37 and 122.10

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Solution

The fourth proportional to 122.10, 186.37 and 122.10 is: 186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.10 : 186.37 = 122.10 : x
  2. Step 2: Convert to fraction form
    122.10/186.37 = 122.10/x
  3. Step 3: Cross multiply
    122.10x = 186.37 × 122.10
  4. Step 4: Simplify right side
    122.10x = 22,755.17
  5. Step 5: Solve for x
    x = 22,755.17/122.10
  6. Step 6: Final answer
    x = 186.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.