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Finding the Fourth Proportional to 123.86, 185.14 and 107.48

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Solution

The fourth proportional to 123.86, 185.14 and 107.48 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 185.14 = 107.48 : x
  2. Step 2: Convert to fraction form
    123.86/185.14 = 107.48/x
  3. Step 3: Cross multiply
    123.86x = 185.14 × 107.48
  4. Step 4: Simplify right side
    123.86x = 19,898.85
  5. Step 5: Solve for x
    x = 19,898.85/123.86
  6. Step 6: Final answer
    x = 160.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.