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Finding the Fourth Proportional to 129.77, 179.13 and 83.22

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Solution

The fourth proportional to 129.77, 179.13 and 83.22 is: 114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.77 : 179.13 = 83.22 : x
  2. Step 2: Convert to fraction form
    129.77/179.13 = 83.22/x
  3. Step 3: Cross multiply
    129.77x = 179.13 × 83.22
  4. Step 4: Simplify right side
    129.77x = 14,905.89
  5. Step 5: Solve for x
    x = 14,905.89/129.77
  6. Step 6: Final answer
    x = 114.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.