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Finding the Fourth Proportional to 127.96, 191.90 and 76.56

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Solution

The fourth proportional to 127.96, 191.90 and 76.56 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.96 : 191.90 = 76.56 : x
  2. Step 2: Convert to fraction form
    127.96/191.90 = 76.56/x
  3. Step 3: Cross multiply
    127.96x = 191.90 × 76.56
  4. Step 4: Simplify right side
    127.96x = 14,692.06
  5. Step 5: Solve for x
    x = 14,692.06/127.96
  6. Step 6: Final answer
    x = 114.82

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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.