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Finding the Fourth Proportional to 103.61, 155.43 and 52.22

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Solution

The fourth proportional to 103.61, 155.43 and 52.22 is: 78.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.61 : 155.43 = 52.22 : x
  2. Step 2: Convert to fraction form
    103.61/155.43 = 52.22/x
  3. Step 3: Cross multiply
    103.61x = 155.43 × 52.22
  4. Step 4: Simplify right side
    103.61x = 8,115.78
  5. Step 5: Solve for x
    x = 8,115.78/103.61
  6. Step 6: Final answer
    x = 78.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.