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Finding the Fourth Proportional to 103.46, 142.64 and 82.70

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Solution

The fourth proportional to 103.46, 142.64 and 82.70 is: 114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.46 : 142.64 = 82.70 : x
  2. Step 2: Convert to fraction form
    103.46/142.64 = 82.70/x
  3. Step 3: Cross multiply
    103.46x = 142.64 × 82.70
  4. Step 4: Simplify right side
    103.46x = 11,796.05
  5. Step 5: Solve for x
    x = 11,796.05/103.46
  6. Step 6: Final answer
    x = 114.02

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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.