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Finding the Fourth Proportional to 132.07, 182.04 and 121.04

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Solution

The fourth proportional to 132.07, 182.04 and 121.04 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.07 : 182.04 = 121.04 : x
  2. Step 2: Convert to fraction form
    132.07/182.04 = 121.04/x
  3. Step 3: Cross multiply
    132.07x = 182.04 × 121.04
  4. Step 4: Simplify right side
    132.07x = 22,034.80
  5. Step 5: Solve for x
    x = 22,034.80/132.07
  6. Step 6: Final answer
    x = 166.84

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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.