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Finding the Fourth Proportional to 132.99, 183.72 and 120.71

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Solution

The fourth proportional to 132.99, 183.72 and 120.71 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.99 : 183.72 = 120.71 : x
  2. Step 2: Convert to fraction form
    132.99/183.72 = 120.71/x
  3. Step 3: Cross multiply
    132.99x = 183.72 × 120.71
  4. Step 4: Simplify right side
    132.99x = 22,175.92
  5. Step 5: Solve for x
    x = 22,175.92/132.99
  6. Step 6: Final answer
    x = 166.75

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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.