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Finding the Fourth Proportional to 120.72, 165.53 and 109.02

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Solution

The fourth proportional to 120.72, 165.53 and 109.02 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 165.53 = 109.02 : x
  2. Step 2: Convert to fraction form
    120.72/165.53 = 109.02/x
  3. Step 3: Cross multiply
    120.72x = 165.53 × 109.02
  4. Step 4: Simplify right side
    120.72x = 18,045.54
  5. Step 5: Solve for x
    x = 18,045.54/120.72
  6. Step 6: Final answer
    x = 149.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.