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Finding the Fourth Proportional to 140.15, 193.33 and 87.68

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Solution

The fourth proportional to 140.15, 193.33 and 87.68 is: 120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.15 : 193.33 = 87.68 : x
  2. Step 2: Convert to fraction form
    140.15/193.33 = 87.68/x
  3. Step 3: Cross multiply
    140.15x = 193.33 × 87.68
  4. Step 4: Simplify right side
    140.15x = 16,951.17
  5. Step 5: Solve for x
    x = 16,951.17/140.15
  6. Step 6: Final answer
    x = 120.95

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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.