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Finding the Fourth Proportional to 120.52, 180.69 and 66.37

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Solution

The fourth proportional to 120.52, 180.69 and 66.37 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 180.69 = 66.37 : x
  2. Step 2: Convert to fraction form
    120.52/180.69 = 66.37/x
  3. Step 3: Cross multiply
    120.52x = 180.69 × 66.37
  4. Step 4: Simplify right side
    120.52x = 11,992.40
  5. Step 5: Solve for x
    x = 11,992.40/120.52
  6. Step 6: Final answer
    x = 99.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.