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Finding the Fourth Proportional to 120.65, 180.85 and 91.68

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Solution

The fourth proportional to 120.65, 180.85 and 91.68 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 180.85 = 91.68 : x
  2. Step 2: Convert to fraction form
    120.65/180.85 = 91.68/x
  3. Step 3: Cross multiply
    120.65x = 180.85 × 91.68
  4. Step 4: Simplify right side
    120.65x = 16,580.10
  5. Step 5: Solve for x
    x = 16,580.10/120.65
  6. Step 6: Final answer
    x = 137.43

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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.