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Finding the Fourth Proportional to 133.08, 182.24 and 125.68

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Solution

The fourth proportional to 133.08, 182.24 and 125.68 is: 172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.08 : 182.24 = 125.68 : x
  2. Step 2: Convert to fraction form
    133.08/182.24 = 125.68/x
  3. Step 3: Cross multiply
    133.08x = 182.24 × 125.68
  4. Step 4: Simplify right side
    133.08x = 22,903.92
  5. Step 5: Solve for x
    x = 22,903.92/133.08
  6. Step 6: Final answer
    x = 172.11

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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.