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Finding the Fourth Proportional to 123.86, 170.64 and 92.75

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Solution

The fourth proportional to 123.86, 170.64 and 92.75 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 170.64 = 92.75 : x
  2. Step 2: Convert to fraction form
    123.86/170.64 = 92.75/x
  3. Step 3: Cross multiply
    123.86x = 170.64 × 92.75
  4. Step 4: Simplify right side
    123.86x = 15,826.01
  5. Step 5: Solve for x
    x = 15,826.01/123.86
  6. Step 6: Final answer
    x = 127.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.