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Finding the Fourth Proportional to 103.74, 155.60 and 35.24

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Solution

The fourth proportional to 103.74, 155.60 and 35.24 is: 52.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.74 : 155.60 = 35.24 : x
  2. Step 2: Convert to fraction form
    103.74/155.60 = 35.24/x
  3. Step 3: Cross multiply
    103.74x = 155.60 × 35.24
  4. Step 4: Simplify right side
    103.74x = 5,483.34
  5. Step 5: Solve for x
    x = 5,483.34/103.74
  6. Step 6: Final answer
    x = 52.86

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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.