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Finding the Fourth Proportional to 102.70, 141.60 and 76.78

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Solution

The fourth proportional to 102.70, 141.60 and 76.78 is: 105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.70 : 141.60 = 76.78 : x
  2. Step 2: Convert to fraction form
    102.70/141.60 = 76.78/x
  3. Step 3: Cross multiply
    102.70x = 141.60 × 76.78
  4. Step 4: Simplify right side
    102.70x = 10,872.05
  5. Step 5: Solve for x
    x = 10,872.05/102.70
  6. Step 6: Final answer
    x = 105.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.