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Finding the Fourth Proportional to 77.82, 116.68 and 52.12

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Solution

The fourth proportional to 77.82, 116.68 and 52.12 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 116.68 = 52.12 : x
  2. Step 2: Convert to fraction form
    77.82/116.68 = 52.12/x
  3. Step 3: Cross multiply
    77.82x = 116.68 × 52.12
  4. Step 4: Simplify right side
    77.82x = 6,081.36
  5. Step 5: Solve for x
    x = 6,081.36/77.82
  6. Step 6: Final answer
    x = 78.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.