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Finding the Fourth Proportional to 103.89, 155.76 and 83.59

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Solution

The fourth proportional to 103.89, 155.76 and 83.59 is: 125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.89 : 155.76 = 83.59 : x
  2. Step 2: Convert to fraction form
    103.89/155.76 = 83.59/x
  3. Step 3: Cross multiply
    103.89x = 155.76 × 83.59
  4. Step 4: Simplify right side
    103.89x = 13,019.98
  5. Step 5: Solve for x
    x = 13,019.98/103.89
  6. Step 6: Final answer
    x = 125.32

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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.