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Finding the Fourth Proportional to 129.98, 179.17 and 83.26

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Solution

The fourth proportional to 129.98, 179.17 and 83.26 is: 114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 179.17 = 83.26 : x
  2. Step 2: Convert to fraction form
    129.98/179.17 = 83.26/x
  3. Step 3: Cross multiply
    129.98x = 179.17 × 83.26
  4. Step 4: Simplify right side
    129.98x = 14,917.71
  5. Step 5: Solve for x
    x = 14,917.71/129.98
  6. Step 6: Final answer
    x = 114.77

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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.