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Finding the Fourth Proportional to 104.14, 143.64 and 82.02

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Solution

The fourth proportional to 104.14, 143.64 and 82.02 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.14 : 143.64 = 82.02 : x
  2. Step 2: Convert to fraction form
    104.14/143.64 = 82.02/x
  3. Step 3: Cross multiply
    104.14x = 143.64 × 82.02
  4. Step 4: Simplify right side
    104.14x = 11,781.35
  5. Step 5: Solve for x
    x = 11,781.35/104.14
  6. Step 6: Final answer
    x = 113.13

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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.