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Finding the Fourth Proportional to 122.99, 169.62 and 73.85

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Solution

The fourth proportional to 122.99, 169.62 and 73.85 is: 101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.99 : 169.62 = 73.85 : x
  2. Step 2: Convert to fraction form
    122.99/169.62 = 73.85/x
  3. Step 3: Cross multiply
    122.99x = 169.62 × 73.85
  4. Step 4: Simplify right side
    122.99x = 12,526.44
  5. Step 5: Solve for x
    x = 12,526.44/122.99
  6. Step 6: Final answer
    x = 101.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.