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Finding the Fourth Proportional to 132.02, 181.20 and 119.72

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Solution

The fourth proportional to 132.02, 181.20 and 119.72 is: 164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 181.20 = 119.72 : x
  2. Step 2: Convert to fraction form
    132.02/181.20 = 119.72/x
  3. Step 3: Cross multiply
    132.02x = 181.20 × 119.72
  4. Step 4: Simplify right side
    132.02x = 21,693.26
  5. Step 5: Solve for x
    x = 21,693.26/132.02
  6. Step 6: Final answer
    x = 164.32

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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.