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Finding the Fourth Proportional to 78.82, 118.46 and 47.99

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Solution

The fourth proportional to 78.82, 118.46 and 47.99 is: 72.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 118.46 = 47.99 : x
  2. Step 2: Convert to fraction form
    78.82/118.46 = 47.99/x
  3. Step 3: Cross multiply
    78.82x = 118.46 × 47.99
  4. Step 4: Simplify right side
    78.82x = 5,685.31
  5. Step 5: Solve for x
    x = 5,685.31/78.82
  6. Step 6: Final answer
    x = 72.13

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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.