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Finding the Fourth Proportional to 103.86, 143.20 and 77.27

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Solution

The fourth proportional to 103.86, 143.20 and 77.27 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 143.20 = 77.27 : x
  2. Step 2: Convert to fraction form
    103.86/143.20 = 77.27/x
  3. Step 3: Cross multiply
    103.86x = 143.20 × 77.27
  4. Step 4: Simplify right side
    103.86x = 11,065.35
  5. Step 5: Solve for x
    x = 11,065.35/103.86
  6. Step 6: Final answer
    x = 106.54

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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.