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Finding the Fourth Proportional to 103.57, 155.28 and 41.86

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Solution

The fourth proportional to 103.57, 155.28 and 41.86 is: 62.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.57 : 155.28 = 41.86 : x
  2. Step 2: Convert to fraction form
    103.57/155.28 = 41.86/x
  3. Step 3: Cross multiply
    103.57x = 155.28 × 41.86
  4. Step 4: Simplify right side
    103.57x = 6,500.02
  5. Step 5: Solve for x
    x = 6,500.02/103.57
  6. Step 6: Final answer
    x = 62.76

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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.