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Finding the Fourth Proportional to 127.22, 189.76 and 123.38

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Solution

The fourth proportional to 127.22, 189.76 and 123.38 is: 184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 189.76 = 123.38 : x
  2. Step 2: Convert to fraction form
    127.22/189.76 = 123.38/x
  3. Step 3: Cross multiply
    127.22x = 189.76 × 123.38
  4. Step 4: Simplify right side
    127.22x = 23,412.80
  5. Step 5: Solve for x
    x = 23,412.80/127.22
  6. Step 6: Final answer
    x = 184.03

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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.