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Finding the Fourth Proportional to 103.64, 142.96 and 82.92

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Solution

The fourth proportional to 103.64, 142.96 and 82.92 is: 114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.64 : 142.96 = 82.92 : x
  2. Step 2: Convert to fraction form
    103.64/142.96 = 82.92/x
  3. Step 3: Cross multiply
    103.64x = 142.96 × 82.92
  4. Step 4: Simplify right side
    103.64x = 11,854.24
  5. Step 5: Solve for x
    x = 11,854.24/103.64
  6. Step 6: Final answer
    x = 114.38

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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.