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Finding the Fourth Proportional to 78.69, 117.94 and 38.09

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Solution

The fourth proportional to 78.69, 117.94 and 38.09 is: 57.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.69 : 117.94 = 38.09 : x
  2. Step 2: Convert to fraction form
    78.69/117.94 = 38.09/x
  3. Step 3: Cross multiply
    78.69x = 117.94 × 38.09
  4. Step 4: Simplify right side
    78.69x = 4,492.33
  5. Step 5: Solve for x
    x = 4,492.33/78.69
  6. Step 6: Final answer
    x = 57.09

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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.