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Finding the Fourth Proportional to 103.67, 142.75 and 82.88

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Solution

The fourth proportional to 103.67, 142.75 and 82.88 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.67 : 142.75 = 82.88 : x
  2. Step 2: Convert to fraction form
    103.67/142.75 = 82.88/x
  3. Step 3: Cross multiply
    103.67x = 142.75 × 82.88
  4. Step 4: Simplify right side
    103.67x = 11,831.12
  5. Step 5: Solve for x
    x = 11,831.12/103.67
  6. Step 6: Final answer
    x = 114.12

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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.