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Finding the Fourth Proportional to 120.58, 166.37 and 73.94

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Solution

The fourth proportional to 120.58, 166.37 and 73.94 is: 102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 166.37 = 73.94 : x
  2. Step 2: Convert to fraction form
    120.58/166.37 = 73.94/x
  3. Step 3: Cross multiply
    120.58x = 166.37 × 73.94
  4. Step 4: Simplify right side
    120.58x = 12,300.20
  5. Step 5: Solve for x
    x = 12,300.20/120.58
  6. Step 6: Final answer
    x = 102.01

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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.