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Finding the Fourth Proportional to 78.18, 116.36 and 77.73

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Solution

The fourth proportional to 78.18, 116.36 and 77.73 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.18 : 116.36 = 77.73 : x
  2. Step 2: Convert to fraction form
    78.18/116.36 = 77.73/x
  3. Step 3: Cross multiply
    78.18x = 116.36 × 77.73
  4. Step 4: Simplify right side
    78.18x = 9,044.27
  5. Step 5: Solve for x
    x = 9,044.27/78.18
  6. Step 6: Final answer
    x = 115.69

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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.