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Finding the Fourth Proportional to 117.45, 175.68 and 86.72

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Solution

The fourth proportional to 117.45, 175.68 and 86.72 is: 129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 175.68 = 86.72 : x
  2. Step 2: Convert to fraction form
    117.45/175.68 = 86.72/x
  3. Step 3: Cross multiply
    117.45x = 175.68 × 86.72
  4. Step 4: Simplify right side
    117.45x = 15,234.09
  5. Step 5: Solve for x
    x = 15,234.09/117.45
  6. Step 6: Final answer
    x = 129.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.