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Finding the Fourth Proportional to 120.74, 166.59 and 68.28

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Solution

The fourth proportional to 120.74, 166.59 and 68.28 is: 94.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.74 : 166.59 = 68.28 : x
  2. Step 2: Convert to fraction form
    120.74/166.59 = 68.28/x
  3. Step 3: Cross multiply
    120.74x = 166.59 × 68.28
  4. Step 4: Simplify right side
    120.74x = 11,374.77
  5. Step 5: Solve for x
    x = 11,374.77/120.74
  6. Step 6: Final answer
    x = 94.21

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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.