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Finding the Fourth Proportional to 103.78, 143.22 and 57.78

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Solution

The fourth proportional to 103.78, 143.22 and 57.78 is: 79.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 143.22 = 57.78 : x
  2. Step 2: Convert to fraction form
    103.78/143.22 = 57.78/x
  3. Step 3: Cross multiply
    103.78x = 143.22 × 57.78
  4. Step 4: Simplify right side
    103.78x = 8,275.25
  5. Step 5: Solve for x
    x = 8,275.25/103.78
  6. Step 6: Final answer
    x = 79.74

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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.