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Finding the Fourth Proportional to 102.75, 141.90 and 76.83

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Solution

The fourth proportional to 102.75, 141.90 and 76.83 is: 106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 141.90 = 76.83 : x
  2. Step 2: Convert to fraction form
    102.75/141.90 = 76.83/x
  3. Step 3: Cross multiply
    102.75x = 141.90 × 76.83
  4. Step 4: Simplify right side
    102.75x = 10,902.18
  5. Step 5: Solve for x
    x = 10,902.18/102.75
  6. Step 6: Final answer
    x = 106.10

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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.