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Finding the Fourth Proportional to 120.55, 166.36 and 94.63

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Solution

The fourth proportional to 120.55, 166.36 and 94.63 is: 130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.55 : 166.36 = 94.63 : x
  2. Step 2: Convert to fraction form
    120.55/166.36 = 94.63/x
  3. Step 3: Cross multiply
    120.55x = 166.36 × 94.63
  4. Step 4: Simplify right side
    120.55x = 15,742.65
  5. Step 5: Solve for x
    x = 15,742.65/120.55
  6. Step 6: Final answer
    x = 130.59

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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.