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Finding the Fourth Proportional to 103.82, 155.71 and 35.34

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Solution

The fourth proportional to 103.82, 155.71 and 35.34 is: 53.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.82 : 155.71 = 35.34 : x
  2. Step 2: Convert to fraction form
    103.82/155.71 = 35.34/x
  3. Step 3: Cross multiply
    103.82x = 155.71 × 35.34
  4. Step 4: Simplify right side
    103.82x = 5,503.49
  5. Step 5: Solve for x
    x = 5,503.49/103.82
  6. Step 6: Final answer
    x = 53.01

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