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Finding the Fourth Proportional to 137.52, 189.97 and 110.08

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Solution

The fourth proportional to 137.52, 189.97 and 110.08 is: 152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 189.97 = 110.08 : x
  2. Step 2: Convert to fraction form
    137.52/189.97 = 110.08/x
  3. Step 3: Cross multiply
    137.52x = 189.97 × 110.08
  4. Step 4: Simplify right side
    137.52x = 20,911.86
  5. Step 5: Solve for x
    x = 20,911.86/137.52
  6. Step 6: Final answer
    x = 152.06

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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.