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Finding the Fourth Proportional to 122.63, 169.30 and 106.23

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Solution

The fourth proportional to 122.63, 169.30 and 106.23 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 169.30 = 106.23 : x
  2. Step 2: Convert to fraction form
    122.63/169.30 = 106.23/x
  3. Step 3: Cross multiply
    122.63x = 169.30 × 106.23
  4. Step 4: Simplify right side
    122.63x = 17,984.74
  5. Step 5: Solve for x
    x = 17,984.74/122.63
  6. Step 6: Final answer
    x = 146.66

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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.