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Finding the Fourth Proportional to 103.80, 142.22 and 102.86

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Solution

The fourth proportional to 103.80, 142.22 and 102.86 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.80 : 142.22 = 102.86 : x
  2. Step 2: Convert to fraction form
    103.80/142.22 = 102.86/x
  3. Step 3: Cross multiply
    103.80x = 142.22 × 102.86
  4. Step 4: Simplify right side
    103.80x = 14,628.75
  5. Step 5: Solve for x
    x = 14,628.75/103.80
  6. Step 6: Final answer
    x = 140.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.