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Finding the Fourth Proportional to 120.90, 166.83 and 88.09

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Solution

The fourth proportional to 120.90, 166.83 and 88.09 is: 121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.90 : 166.83 = 88.09 : x
  2. Step 2: Convert to fraction form
    120.90/166.83 = 88.09/x
  3. Step 3: Cross multiply
    120.90x = 166.83 × 88.09
  4. Step 4: Simplify right side
    120.90x = 14,696.05
  5. Step 5: Solve for x
    x = 14,696.05/120.90
  6. Step 6: Final answer
    x = 121.56

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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.