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Finding the Fourth Proportional to 78.38, 116.66 and 76.78

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Solution

The fourth proportional to 78.38, 116.66 and 76.78 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.38 : 116.66 = 76.78 : x
  2. Step 2: Convert to fraction form
    78.38/116.66 = 76.78/x
  3. Step 3: Cross multiply
    78.38x = 116.66 × 76.78
  4. Step 4: Simplify right side
    78.38x = 8,957.15
  5. Step 5: Solve for x
    x = 8,957.15/78.38
  6. Step 6: Final answer
    x = 114.28

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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.