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Finding the Fourth Proportional to 125.10, 172.74 and 120.60

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Solution

The fourth proportional to 125.10, 172.74 and 120.60 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.10 : 172.74 = 120.60 : x
  2. Step 2: Convert to fraction form
    125.10/172.74 = 120.60/x
  3. Step 3: Cross multiply
    125.10x = 172.74 × 120.60
  4. Step 4: Simplify right side
    125.10x = 20,832.44
  5. Step 5: Solve for x
    x = 20,832.44/125.10
  6. Step 6: Final answer
    x = 166.53

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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.