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Finding the Fourth Proportional to 127.44, 190.71 and 81.84

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Solution

The fourth proportional to 127.44, 190.71 and 81.84 is: 122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 190.71 = 81.84 : x
  2. Step 2: Convert to fraction form
    127.44/190.71 = 81.84/x
  3. Step 3: Cross multiply
    127.44x = 190.71 × 81.84
  4. Step 4: Simplify right side
    127.44x = 15,607.71
  5. Step 5: Solve for x
    x = 15,607.71/127.44
  6. Step 6: Final answer
    x = 122.47

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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.