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Finding the Fourth Proportional to 129.77, 179.02 and 120.51

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Solution

The fourth proportional to 129.77, 179.02 and 120.51 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.77 : 179.02 = 120.51 : x
  2. Step 2: Convert to fraction form
    129.77/179.02 = 120.51/x
  3. Step 3: Cross multiply
    129.77x = 179.02 × 120.51
  4. Step 4: Simplify right side
    129.77x = 21,573.70
  5. Step 5: Solve for x
    x = 21,573.70/129.77
  6. Step 6: Final answer
    x = 166.25

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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.