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Finding the Fourth Proportional to 129.95, 179.35 and 80.84

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Solution

The fourth proportional to 129.95, 179.35 and 80.84 is: 111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.95 : 179.35 = 80.84 : x
  2. Step 2: Convert to fraction form
    129.95/179.35 = 80.84/x
  3. Step 3: Cross multiply
    129.95x = 179.35 × 80.84
  4. Step 4: Simplify right side
    129.95x = 14,498.65
  5. Step 5: Solve for x
    x = 14,498.65/129.95
  6. Step 6: Final answer
    x = 111.57

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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.