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Finding the Fourth Proportional to 191.64, 287.43 and 75.99

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Solution

The fourth proportional to 191.64, 287.43 and 75.99 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 287.43 = 75.99 : x
  2. Step 2: Convert to fraction form
    191.64/287.43 = 75.99/x
  3. Step 3: Cross multiply
    191.64x = 287.43 × 75.99
  4. Step 4: Simplify right side
    191.64x = 21,841.81
  5. Step 5: Solve for x
    x = 21,841.81/191.64
  6. Step 6: Final answer
    x = 113.97

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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.