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Finding the Fourth Proportional to 137.05, 189.08 and 127.87

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Solution

The fourth proportional to 137.05, 189.08 and 127.87 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.05 : 189.08 = 127.87 : x
  2. Step 2: Convert to fraction form
    137.05/189.08 = 127.87/x
  3. Step 3: Cross multiply
    137.05x = 189.08 × 127.87
  4. Step 4: Simplify right side
    137.05x = 24,177.02
  5. Step 5: Solve for x
    x = 24,177.02/137.05
  6. Step 6: Final answer
    x = 176.41

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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.