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Finding the Fourth Proportional to 193.10, 289.85 and 84.96

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Solution

The fourth proportional to 193.10, 289.85 and 84.96 is: 127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 289.85 = 84.96 : x
  2. Step 2: Convert to fraction form
    193.10/289.85 = 84.96/x
  3. Step 3: Cross multiply
    193.10x = 289.85 × 84.96
  4. Step 4: Simplify right side
    193.10x = 24,625.23
  5. Step 5: Solve for x
    x = 24,625.23/193.10
  6. Step 6: Final answer
    x = 127.53

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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.