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Finding the Fourth Proportional to 125.22, 171.55 and 120.61

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Solution

The fourth proportional to 125.22, 171.55 and 120.61 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.22 : 171.55 = 120.61 : x
  2. Step 2: Convert to fraction form
    125.22/171.55 = 120.61/x
  3. Step 3: Cross multiply
    125.22x = 171.55 × 120.61
  4. Step 4: Simplify right side
    125.22x = 20,690.65
  5. Step 5: Solve for x
    x = 20,690.65/125.22
  6. Step 6: Final answer
    x = 165.23

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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.