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Finding the Fourth Proportional to 275.22, 412.80 and 90.12

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Solution

The fourth proportional to 275.22, 412.80 and 90.12 is: 135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 412.80 = 90.12 : x
  2. Step 2: Convert to fraction form
    275.22/412.80 = 90.12/x
  3. Step 3: Cross multiply
    275.22x = 412.80 × 90.12
  4. Step 4: Simplify right side
    275.22x = 37,201.54
  5. Step 5: Solve for x
    x = 37,201.54/275.22
  6. Step 6: Final answer
    x = 135.17

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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.