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Finding the Fourth Proportional to 103.57, 155.37 and 86.56

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Solution

The fourth proportional to 103.57, 155.37 and 86.56 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.57 : 155.37 = 86.56 : x
  2. Step 2: Convert to fraction form
    103.57/155.37 = 86.56/x
  3. Step 3: Cross multiply
    103.57x = 155.37 × 86.56
  4. Step 4: Simplify right side
    103.57x = 13,448.83
  5. Step 5: Solve for x
    x = 13,448.83/103.57
  6. Step 6: Final answer
    x = 129.85

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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.