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Finding the Fourth Proportional to 129.94, 179.48 and 91.06

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Solution

The fourth proportional to 129.94, 179.48 and 91.06 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.94 : 179.48 = 91.06 : x
  2. Step 2: Convert to fraction form
    129.94/179.48 = 91.06/x
  3. Step 3: Cross multiply
    129.94x = 179.48 × 91.06
  4. Step 4: Simplify right side
    129.94x = 16,343.23
  5. Step 5: Solve for x
    x = 16,343.23/129.94
  6. Step 6: Final answer
    x = 125.78

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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.