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Finding the Fourth Proportional to 122.58, 169.20 and 83.30

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Solution

The fourth proportional to 122.58, 169.20 and 83.30 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.58 : 169.20 = 83.30 : x
  2. Step 2: Convert to fraction form
    122.58/169.20 = 83.30/x
  3. Step 3: Cross multiply
    122.58x = 169.20 × 83.30
  4. Step 4: Simplify right side
    122.58x = 14,093.51
  5. Step 5: Solve for x
    x = 14,093.51/122.58
  6. Step 6: Final answer
    x = 114.97

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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.