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Finding the Fourth Proportional to 127.22, 189.73 and 112.76

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Solution

The fourth proportional to 127.22, 189.73 and 112.76 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 189.73 = 112.76 : x
  2. Step 2: Convert to fraction form
    127.22/189.73 = 112.76/x
  3. Step 3: Cross multiply
    127.22x = 189.73 × 112.76
  4. Step 4: Simplify right side
    127.22x = 21,393.95
  5. Step 5: Solve for x
    x = 21,393.95/127.22
  6. Step 6: Final answer
    x = 168.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.