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Finding the Fourth Proportional to 78.09, 116.92 and 41.91

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Solution

The fourth proportional to 78.09, 116.92 and 41.91 is: 62.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 116.92 = 41.91 : x
  2. Step 2: Convert to fraction form
    78.09/116.92 = 41.91/x
  3. Step 3: Cross multiply
    78.09x = 116.92 × 41.91
  4. Step 4: Simplify right side
    78.09x = 4,900.12
  5. Step 5: Solve for x
    x = 4,900.12/78.09
  6. Step 6: Final answer
    x = 62.75

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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.