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Finding the Fourth Proportional to 159.14, 238.46 and 86.03

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Solution

The fourth proportional to 159.14, 238.46 and 86.03 is: 128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.14 : 238.46 = 86.03 : x
  2. Step 2: Convert to fraction form
    159.14/238.46 = 86.03/x
  3. Step 3: Cross multiply
    159.14x = 238.46 × 86.03
  4. Step 4: Simplify right side
    159.14x = 20,513.52
  5. Step 5: Solve for x
    x = 20,513.52/159.14
  6. Step 6: Final answer
    x = 128.90

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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.