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Finding the Fourth Proportional to 122.54, 169.09 and 75.93

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Solution

The fourth proportional to 122.54, 169.09 and 75.93 is: 104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.54 : 169.09 = 75.93 : x
  2. Step 2: Convert to fraction form
    122.54/169.09 = 75.93/x
  3. Step 3: Cross multiply
    122.54x = 169.09 × 75.93
  4. Step 4: Simplify right side
    122.54x = 12,838.81
  5. Step 5: Solve for x
    x = 12,838.81/122.54
  6. Step 6: Final answer
    x = 104.77

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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.