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Finding the Fourth Proportional to 191.74, 287.68 and 83.60

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Solution

The fourth proportional to 191.74, 287.68 and 83.60 is: 125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.74 : 287.68 = 83.60 : x
  2. Step 2: Convert to fraction form
    191.74/287.68 = 83.60/x
  3. Step 3: Cross multiply
    191.74x = 287.68 × 83.60
  4. Step 4: Simplify right side
    191.74x = 24,049.63
  5. Step 5: Solve for x
    x = 24,049.63/191.74
  6. Step 6: Final answer
    x = 125.43

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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.