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Finding the Fourth Proportional to 127.98, 191.82 and 76.63

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Solution

The fourth proportional to 127.98, 191.82 and 76.63 is: 114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.98 : 191.82 = 76.63 : x
  2. Step 2: Convert to fraction form
    127.98/191.82 = 76.63/x
  3. Step 3: Cross multiply
    127.98x = 191.82 × 76.63
  4. Step 4: Simplify right side
    127.98x = 14,699.17
  5. Step 5: Solve for x
    x = 14,699.17/127.98
  6. Step 6: Final answer
    x = 114.86

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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.