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Finding the Fourth Proportional to 123.86, 186.91 and 119.34

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Solution

The fourth proportional to 123.86, 186.91 and 119.34 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 186.91 = 119.34 : x
  2. Step 2: Convert to fraction form
    123.86/186.91 = 119.34/x
  3. Step 3: Cross multiply
    123.86x = 186.91 × 119.34
  4. Step 4: Simplify right side
    123.86x = 22,305.54
  5. Step 5: Solve for x
    x = 22,305.54/123.86
  6. Step 6: Final answer
    x = 180.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.