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Finding the Fourth Proportional to 120.94, 166.90 and 65.68

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Solution

The fourth proportional to 120.94, 166.90 and 65.68 is: 90.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 166.90 = 65.68 : x
  2. Step 2: Convert to fraction form
    120.94/166.90 = 65.68/x
  3. Step 3: Cross multiply
    120.94x = 166.90 × 65.68
  4. Step 4: Simplify right side
    120.94x = 10,961.70
  5. Step 5: Solve for x
    x = 10,961.70/120.94
  6. Step 6: Final answer
    x = 90.64

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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.