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Finding the Fourth Proportional to 271.08, 406.72 and 88.48

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Solution

The fourth proportional to 271.08, 406.72 and 88.48 is: 132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.08 : 406.72 = 88.48 : x
  2. Step 2: Convert to fraction form
    271.08/406.72 = 88.48/x
  3. Step 3: Cross multiply
    271.08x = 406.72 × 88.48
  4. Step 4: Simplify right side
    271.08x = 35,984.55
  5. Step 5: Solve for x
    x = 35,984.55/271.08
  6. Step 6: Final answer
    x = 132.75

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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.