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Finding the Fourth Proportional to 77.82, 116.70 and 45.78

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Solution

The fourth proportional to 77.82, 116.70 and 45.78 is: 68.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 116.70 = 45.78 : x
  2. Step 2: Convert to fraction form
    77.82/116.70 = 45.78/x
  3. Step 3: Cross multiply
    77.82x = 116.70 × 45.78
  4. Step 4: Simplify right side
    77.82x = 5,342.53
  5. Step 5: Solve for x
    x = 5,342.53/77.82
  6. Step 6: Final answer
    x = 68.65

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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.