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Finding the Fourth Proportional to 77.78, 116.17 and 76.57

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Solution

The fourth proportional to 77.78, 116.17 and 76.57 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.78 : 116.17 = 76.57 : x
  2. Step 2: Convert to fraction form
    77.78/116.17 = 76.57/x
  3. Step 3: Cross multiply
    77.78x = 116.17 × 76.57
  4. Step 4: Simplify right side
    77.78x = 8,895.14
  5. Step 5: Solve for x
    x = 8,895.14/77.78
  6. Step 6: Final answer
    x = 114.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.