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Finding the Fourth Proportional to 127.88, 191.85 and 50.83

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Solution

The fourth proportional to 127.88, 191.85 and 50.83 is: 76.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 191.85 = 50.83 : x
  2. Step 2: Convert to fraction form
    127.88/191.85 = 50.83/x
  3. Step 3: Cross multiply
    127.88x = 191.85 × 50.83
  4. Step 4: Simplify right side
    127.88x = 9,751.20
  5. Step 5: Solve for x
    x = 9,751.20/127.88
  6. Step 6: Final answer
    x = 76.25

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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.