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Finding the Fourth Proportional to 120.77, 166.65 and 71.64

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Solution

The fourth proportional to 120.77, 166.65 and 71.64 is: 98.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 166.65 = 71.64 : x
  2. Step 2: Convert to fraction form
    120.77/166.65 = 71.64/x
  3. Step 3: Cross multiply
    120.77x = 166.65 × 71.64
  4. Step 4: Simplify right side
    120.77x = 11,937.97
  5. Step 5: Solve for x
    x = 11,937.97/120.77
  6. Step 6: Final answer
    x = 98.85

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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.