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Finding the Fourth Proportional to 122.93, 169.50 and 106.31

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Solution

The fourth proportional to 122.93, 169.50 and 106.31 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.93 : 169.50 = 106.31 : x
  2. Step 2: Convert to fraction form
    122.93/169.50 = 106.31/x
  3. Step 3: Cross multiply
    122.93x = 169.50 × 106.31
  4. Step 4: Simplify right side
    122.93x = 18,018.43
  5. Step 5: Solve for x
    x = 18,018.43/122.93
  6. Step 6: Final answer
    x = 146.57

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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.