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Finding the Fourth Proportional to 125.85, 172.60 and 120.88

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Solution

The fourth proportional to 125.85, 172.60 and 120.88 is: 165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.85 : 172.60 = 120.88 : x
  2. Step 2: Convert to fraction form
    125.85/172.60 = 120.88/x
  3. Step 3: Cross multiply
    125.85x = 172.60 × 120.88
  4. Step 4: Simplify right side
    125.85x = 20,863.89
  5. Step 5: Solve for x
    x = 20,863.89/125.85
  6. Step 6: Final answer
    x = 165.78

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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.