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Finding the Fourth Proportional to 120.45, 166.20 and 89.54

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Solution

The fourth proportional to 120.45, 166.20 and 89.54 is: 123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.45 : 166.20 = 89.54 : x
  2. Step 2: Convert to fraction form
    120.45/166.20 = 89.54/x
  3. Step 3: Cross multiply
    120.45x = 166.20 × 89.54
  4. Step 4: Simplify right side
    120.45x = 14,880.72
  5. Step 5: Solve for x
    x = 14,880.72/120.45
  6. Step 6: Final answer
    x = 123.54

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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.