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Finding the Fourth Proportional to 102.82, 141.76 and 82.18

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Solution

The fourth proportional to 102.82, 141.76 and 82.18 is: 113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 141.76 = 82.18 : x
  2. Step 2: Convert to fraction form
    102.82/141.76 = 82.18/x
  3. Step 3: Cross multiply
    102.82x = 141.76 × 82.18
  4. Step 4: Simplify right side
    102.82x = 11,649.84
  5. Step 5: Solve for x
    x = 11,649.84/102.82
  6. Step 6: Final answer
    x = 113.30

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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.