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Finding the Fourth Proportional to 120.41, 166.03 and 81.06

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Solution

The fourth proportional to 120.41, 166.03 and 81.06 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.41 : 166.03 = 81.06 : x
  2. Step 2: Convert to fraction form
    120.41/166.03 = 81.06/x
  3. Step 3: Cross multiply
    120.41x = 166.03 × 81.06
  4. Step 4: Simplify right side
    120.41x = 13,458.02
  5. Step 5: Solve for x
    x = 13,458.02/120.41
  6. Step 6: Final answer
    x = 111.77

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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.