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Finding the Fourth Proportional to 137.96, 189.38 and 127.02

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Solution

The fourth proportional to 137.96, 189.38 and 127.02 is: 174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 189.38 = 127.02 : x
  2. Step 2: Convert to fraction form
    137.96/189.38 = 127.02/x
  3. Step 3: Cross multiply
    137.96x = 189.38 × 127.02
  4. Step 4: Simplify right side
    137.96x = 24,055.05
  5. Step 5: Solve for x
    x = 24,055.05/137.96
  6. Step 6: Final answer
    x = 174.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.