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Finding the Fourth Proportional to 120.46, 165.97 and 100.72

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Solution

The fourth proportional to 120.46, 165.97 and 100.72 is: 138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.46 : 165.97 = 100.72 : x
  2. Step 2: Convert to fraction form
    120.46/165.97 = 100.72/x
  3. Step 3: Cross multiply
    120.46x = 165.97 × 100.72
  4. Step 4: Simplify right side
    120.46x = 16,716.50
  5. Step 5: Solve for x
    x = 16,716.50/120.46
  6. Step 6: Final answer
    x = 138.77

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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.