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Finding the Fourth Proportional to 78.69, 117.73 and 72.82

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Solution

The fourth proportional to 78.69, 117.73 and 72.82 is: 108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.69 : 117.73 = 72.82 : x
  2. Step 2: Convert to fraction form
    78.69/117.73 = 72.82/x
  3. Step 3: Cross multiply
    78.69x = 117.73 × 72.82
  4. Step 4: Simplify right side
    78.69x = 8,573.10
  5. Step 5: Solve for x
    x = 8,573.10/78.69
  6. Step 6: Final answer
    x = 108.95

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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.