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Finding the Fourth Proportional to 78.23, 117.41 and 51.09

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Solution

The fourth proportional to 78.23, 117.41 and 51.09 is: 76.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 117.41 = 51.09 : x
  2. Step 2: Convert to fraction form
    78.23/117.41 = 51.09/x
  3. Step 3: Cross multiply
    78.23x = 117.41 × 51.09
  4. Step 4: Simplify right side
    78.23x = 5,998.22
  5. Step 5: Solve for x
    x = 5,998.22/78.23
  6. Step 6: Final answer
    x = 76.68

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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.