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Finding the Fourth Proportional to 192.60, 289.02 and 84.48

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Solution

The fourth proportional to 192.60, 289.02 and 84.48 is: 126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 289.02 = 84.48 : x
  2. Step 2: Convert to fraction form
    192.60/289.02 = 84.48/x
  3. Step 3: Cross multiply
    192.60x = 289.02 × 84.48
  4. Step 4: Simplify right side
    192.60x = 24,416.41
  5. Step 5: Solve for x
    x = 24,416.41/192.60
  6. Step 6: Final answer
    x = 126.77

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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.