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Finding the Fourth Proportional to 275.05, 412.51 and 92.44

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Solution

The fourth proportional to 275.05, 412.51 and 92.44 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.05 : 412.51 = 92.44 : x
  2. Step 2: Convert to fraction form
    275.05/412.51 = 92.44/x
  3. Step 3: Cross multiply
    275.05x = 412.51 × 92.44
  4. Step 4: Simplify right side
    275.05x = 38,132.88
  5. Step 5: Solve for x
    x = 38,132.88/275.05
  6. Step 6: Final answer
    x = 138.64

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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.