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Finding the Fourth Proportional to 271.67, 407.37 and 89.05

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Solution

The fourth proportional to 271.67, 407.37 and 89.05 is: 133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.67 : 407.37 = 89.05 : x
  2. Step 2: Convert to fraction form
    271.67/407.37 = 89.05/x
  3. Step 3: Cross multiply
    271.67x = 407.37 × 89.05
  4. Step 4: Simplify right side
    271.67x = 36,275.28
  5. Step 5: Solve for x
    x = 36,275.28/271.67
  6. Step 6: Final answer
    x = 133.53

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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.