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Finding the Fourth Proportional to 127.82, 176.44 and 81.21

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Solution

The fourth proportional to 127.82, 176.44 and 81.21 is: 112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.82 : 176.44 = 81.21 : x
  2. Step 2: Convert to fraction form
    127.82/176.44 = 81.21/x
  3. Step 3: Cross multiply
    127.82x = 176.44 × 81.21
  4. Step 4: Simplify right side
    127.82x = 14,328.69
  5. Step 5: Solve for x
    x = 14,328.69/127.82
  6. Step 6: Final answer
    x = 112.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.