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Finding the Fourth Proportional to 180.83, 271.26 and 71.14

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Solution

The fourth proportional to 180.83, 271.26 and 71.14 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 271.26 = 71.14 : x
  2. Step 2: Convert to fraction form
    180.83/271.26 = 71.14/x
  3. Step 3: Cross multiply
    180.83x = 271.26 × 71.14
  4. Step 4: Simplify right side
    180.83x = 19,297.44
  5. Step 5: Solve for x
    x = 19,297.44/180.83
  6. Step 6: Final answer
    x = 106.72

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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.