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Finding the Fourth Proportional to 132.54, 181.88 and 120.22

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Solution

The fourth proportional to 132.54, 181.88 and 120.22 is: 164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.54 : 181.88 = 120.22 : x
  2. Step 2: Convert to fraction form
    132.54/181.88 = 120.22/x
  3. Step 3: Cross multiply
    132.54x = 181.88 × 120.22
  4. Step 4: Simplify right side
    132.54x = 21,865.61
  5. Step 5: Solve for x
    x = 21,865.61/132.54
  6. Step 6: Final answer
    x = 164.97

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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.