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Finding the Fourth Proportional to 120.11, 179.29 and 110.48

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Solution

The fourth proportional to 120.11, 179.29 and 110.48 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.11 : 179.29 = 110.48 : x
  2. Step 2: Convert to fraction form
    120.11/179.29 = 110.48/x
  3. Step 3: Cross multiply
    120.11x = 179.29 × 110.48
  4. Step 4: Simplify right side
    120.11x = 19,807.96
  5. Step 5: Solve for x
    x = 19,807.96/120.11
  6. Step 6: Final answer
    x = 164.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.