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Finding the Fourth Proportional to 320.84, 481.22 and 89.76

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Solution

The fourth proportional to 320.84, 481.22 and 89.76 is: 134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.84 : 481.22 = 89.76 : x
  2. Step 2: Convert to fraction form
    320.84/481.22 = 89.76/x
  3. Step 3: Cross multiply
    320.84x = 481.22 × 89.76
  4. Step 4: Simplify right side
    320.84x = 43,194.31
  5. Step 5: Solve for x
    x = 43,194.31/320.84
  6. Step 6: Final answer
    x = 134.63

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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.