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Finding the Fourth Proportional to 122.99, 169.50 and 109.15

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Solution

The fourth proportional to 122.99, 169.50 and 109.15 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.99 : 169.50 = 109.15 : x
  2. Step 2: Convert to fraction form
    122.99/169.50 = 109.15/x
  3. Step 3: Cross multiply
    122.99x = 169.50 × 109.15
  4. Step 4: Simplify right side
    122.99x = 18,500.93
  5. Step 5: Solve for x
    x = 18,500.93/122.99
  6. Step 6: Final answer
    x = 150.43

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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.