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Finding the Fourth Proportional to 123.85, 185.68 and 120.97

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Solution

The fourth proportional to 123.85, 185.68 and 120.97 is: 181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.85 : 185.68 = 120.97 : x
  2. Step 2: Convert to fraction form
    123.85/185.68 = 120.97/x
  3. Step 3: Cross multiply
    123.85x = 185.68 × 120.97
  4. Step 4: Simplify right side
    123.85x = 22,461.71
  5. Step 5: Solve for x
    x = 22,461.71/123.85
  6. Step 6: Final answer
    x = 181.36

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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.