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Finding the Fourth Proportional to 124, 185.99 and 106.99

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Solution

The fourth proportional to 124, 185.99 and 106.99 is: 160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124 : 185.99 = 106.99 : x
  2. Step 2: Convert to fraction form
    124/185.99 = 106.99/x
  3. Step 3: Cross multiply
    124x = 185.99 × 106.99
  4. Step 4: Simplify right side
    124x = 19,899.07
  5. Step 5: Solve for x
    x = 19,899.07/124
  6. Step 6: Final answer
    x = 160.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.