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Finding the Fourth Proportional to 127.73, 192.29 and 114.50

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Solution

The fourth proportional to 127.73, 192.29 and 114.50 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.73 : 192.29 = 114.50 : x
  2. Step 2: Convert to fraction form
    127.73/192.29 = 114.50/x
  3. Step 3: Cross multiply
    127.73x = 192.29 × 114.50
  4. Step 4: Simplify right side
    127.73x = 22,017.21
  5. Step 5: Solve for x
    x = 22,017.21/127.73
  6. Step 6: Final answer
    x = 172.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.