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Finding the Fourth Proportional to 137.72, 189.60 and 120.45

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Solution

The fourth proportional to 137.72, 189.60 and 120.45 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 189.60 = 120.45 : x
  2. Step 2: Convert to fraction form
    137.72/189.60 = 120.45/x
  3. Step 3: Cross multiply
    137.72x = 189.60 × 120.45
  4. Step 4: Simplify right side
    137.72x = 22,837.32
  5. Step 5: Solve for x
    x = 22,837.32/137.72
  6. Step 6: Final answer
    x = 165.83

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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.