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Finding the Fourth Proportional to 105.48, 158.56 and 85.42

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Solution

The fourth proportional to 105.48, 158.56 and 85.42 is: 128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 158.56 = 85.42 : x
  2. Step 2: Convert to fraction form
    105.48/158.56 = 85.42/x
  3. Step 3: Cross multiply
    105.48x = 158.56 × 85.42
  4. Step 4: Simplify right side
    105.48x = 13,544.20
  5. Step 5: Solve for x
    x = 13,544.20/105.48
  6. Step 6: Final answer
    x = 128.41

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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.