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Finding the Fourth Proportional to 191.56, 287.23 and 76.04

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Solution

The fourth proportional to 191.56, 287.23 and 76.04 is: 114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 287.23 = 76.04 : x
  2. Step 2: Convert to fraction form
    191.56/287.23 = 76.04/x
  3. Step 3: Cross multiply
    191.56x = 287.23 × 76.04
  4. Step 4: Simplify right side
    191.56x = 21,839.15
  5. Step 5: Solve for x
    x = 21,839.15/191.56
  6. Step 6: Final answer
    x = 114.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.