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Finding the Fourth Proportional to 132.22, 182.05 and 120.07

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Solution

The fourth proportional to 132.22, 182.05 and 120.07 is: 165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.22 : 182.05 = 120.07 : x
  2. Step 2: Convert to fraction form
    132.22/182.05 = 120.07/x
  3. Step 3: Cross multiply
    132.22x = 182.05 × 120.07
  4. Step 4: Simplify right side
    132.22x = 21,858.67
  5. Step 5: Solve for x
    x = 21,858.67/132.22
  6. Step 6: Final answer
    x = 165.32

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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.