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Finding the Fourth Proportional to 137.60, 189.93 and 110.09

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Solution

The fourth proportional to 137.60, 189.93 and 110.09 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 189.93 = 110.09 : x
  2. Step 2: Convert to fraction form
    137.60/189.93 = 110.09/x
  3. Step 3: Cross multiply
    137.60x = 189.93 × 110.09
  4. Step 4: Simplify right side
    137.60x = 20,909.39
  5. Step 5: Solve for x
    x = 20,909.39/137.60
  6. Step 6: Final answer
    x = 151.96

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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.