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Finding the Fourth Proportional to 122.45, 169 and 75.86

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Solution

The fourth proportional to 122.45, 169 and 75.86 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 169 = 75.86 : x
  2. Step 2: Convert to fraction form
    122.45/169 = 75.86/x
  3. Step 3: Cross multiply
    122.45x = 169 × 75.86
  4. Step 4: Simplify right side
    122.45x = 12,820.34
  5. Step 5: Solve for x
    x = 12,820.34/122.45
  6. Step 6: Final answer
    x = 104.70

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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.