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Finding the Fourth Proportional to 129.56, 179.15 and 116.06

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Solution

The fourth proportional to 129.56, 179.15 and 116.06 is: 160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.56 : 179.15 = 116.06 : x
  2. Step 2: Convert to fraction form
    129.56/179.15 = 116.06/x
  3. Step 3: Cross multiply
    129.56x = 179.15 × 116.06
  4. Step 4: Simplify right side
    129.56x = 20,790.67
  5. Step 5: Solve for x
    x = 20,790.67/129.56
  6. Step 6: Final answer
    x = 160.48

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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.