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Finding the Fourth Proportional to 137.66, 189.93 and 120.35

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Solution

The fourth proportional to 137.66, 189.93 and 120.35 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 189.93 = 120.35 : x
  2. Step 2: Convert to fraction form
    137.66/189.93 = 120.35/x
  3. Step 3: Cross multiply
    137.66x = 189.93 × 120.35
  4. Step 4: Simplify right side
    137.66x = 22,858.08
  5. Step 5: Solve for x
    x = 22,858.08/137.66
  6. Step 6: Final answer
    x = 166.05

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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.