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Finding the Fourth Proportional to 180.83, 271.06 and 89.39

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Solution

The fourth proportional to 180.83, 271.06 and 89.39 is: 133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 271.06 = 89.39 : x
  2. Step 2: Convert to fraction form
    180.83/271.06 = 89.39/x
  3. Step 3: Cross multiply
    180.83x = 271.06 × 89.39
  4. Step 4: Simplify right side
    180.83x = 24,230.05
  5. Step 5: Solve for x
    x = 24,230.05/180.83
  6. Step 6: Final answer
    x = 133.99

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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.