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Finding the Fourth Proportional to 275.37, 412.93 and 90.21

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Solution

The fourth proportional to 275.37, 412.93 and 90.21 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 412.93 = 90.21 : x
  2. Step 2: Convert to fraction form
    275.37/412.93 = 90.21/x
  3. Step 3: Cross multiply
    275.37x = 412.93 × 90.21
  4. Step 4: Simplify right side
    275.37x = 37,252.08
  5. Step 5: Solve for x
    x = 37,252.08/275.37
  6. Step 6: Final answer
    x = 135.28

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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.