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Finding the Fourth Proportional to 122.95, 169.99 and 109.07

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Solution

The fourth proportional to 122.95, 169.99 and 109.07 is: 150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.95 : 169.99 = 109.07 : x
  2. Step 2: Convert to fraction form
    122.95/169.99 = 109.07/x
  3. Step 3: Cross multiply
    122.95x = 169.99 × 109.07
  4. Step 4: Simplify right side
    122.95x = 18,539.69
  5. Step 5: Solve for x
    x = 18,539.69/122.95
  6. Step 6: Final answer
    x = 150.79

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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.