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Finding the Fourth Proportional to 140.00, 193.14 and 96.37

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Solution

The fourth proportional to 140.00, 193.14 and 96.37 is: 132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.00 : 193.14 = 96.37 : x
  2. Step 2: Convert to fraction form
    140.00/193.14 = 96.37/x
  3. Step 3: Cross multiply
    140.00x = 193.14 × 96.37
  4. Step 4: Simplify right side
    140.00x = 18,612.42
  5. Step 5: Solve for x
    x = 18,612.42/140.00
  6. Step 6: Final answer
    x = 132.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.