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Finding the Fourth Proportional to 122.78, 169.47 and 85.94

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Solution

The fourth proportional to 122.78, 169.47 and 85.94 is: 118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.78 : 169.47 = 85.94 : x
  2. Step 2: Convert to fraction form
    122.78/169.47 = 85.94/x
  3. Step 3: Cross multiply
    122.78x = 169.47 × 85.94
  4. Step 4: Simplify right side
    122.78x = 14,564.35
  5. Step 5: Solve for x
    x = 14,564.35/122.78
  6. Step 6: Final answer
    x = 118.63

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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.