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Finding the Fourth Proportional to 123.86, 185.78 and 41.59

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Solution

The fourth proportional to 123.86, 185.78 and 41.59 is: 62.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 185.78 = 41.59 : x
  2. Step 2: Convert to fraction form
    123.86/185.78 = 41.59/x
  3. Step 3: Cross multiply
    123.86x = 185.78 × 41.59
  4. Step 4: Simplify right side
    123.86x = 7,726.59
  5. Step 5: Solve for x
    x = 7,726.59/123.86
  6. Step 6: Final answer
    x = 62.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.