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Finding the Fourth Proportional to 131.55, 181.67 and 120.61

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Solution

The fourth proportional to 131.55, 181.67 and 120.61 is: 166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.55 : 181.67 = 120.61 : x
  2. Step 2: Convert to fraction form
    131.55/181.67 = 120.61/x
  3. Step 3: Cross multiply
    131.55x = 181.67 × 120.61
  4. Step 4: Simplify right side
    131.55x = 21,911.22
  5. Step 5: Solve for x
    x = 21,911.22/131.55
  6. Step 6: Final answer
    x = 166.56

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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.