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Finding the Fourth Proportional to 103.89, 143.46 and 82.16

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Solution

The fourth proportional to 103.89, 143.46 and 82.16 is: 113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.89 : 143.46 = 82.16 : x
  2. Step 2: Convert to fraction form
    103.89/143.46 = 82.16/x
  3. Step 3: Cross multiply
    103.89x = 143.46 × 82.16
  4. Step 4: Simplify right side
    103.89x = 11,785.96
  5. Step 5: Solve for x
    x = 11,785.96/103.89
  6. Step 6: Final answer
    x = 113.45

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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.