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Finding the Fourth Proportional to 127.88, 191.82 and 71.24

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Solution

The fourth proportional to 127.88, 191.82 and 71.24 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 191.82 = 71.24 : x
  2. Step 2: Convert to fraction form
    127.88/191.82 = 71.24/x
  3. Step 3: Cross multiply
    127.88x = 191.82 × 71.24
  4. Step 4: Simplify right side
    127.88x = 13,665.26
  5. Step 5: Solve for x
    x = 13,665.26/127.88
  6. Step 6: Final answer
    x = 106.86

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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.