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Finding the Fourth Proportional to 192.82, 289.12 and 90.01

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Solution

The fourth proportional to 192.82, 289.12 and 90.01 is: 134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 289.12 = 90.01 : x
  2. Step 2: Convert to fraction form
    192.82/289.12 = 90.01/x
  3. Step 3: Cross multiply
    192.82x = 289.12 × 90.01
  4. Step 4: Simplify right side
    192.82x = 26,023.69
  5. Step 5: Solve for x
    x = 26,023.69/192.82
  6. Step 6: Final answer
    x = 134.96

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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.