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Finding the Fourth Proportional to 158.59, 218.71 and 103.27

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Solution

The fourth proportional to 158.59, 218.71 and 103.27 is: 142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.59 : 218.71 = 103.27 : x
  2. Step 2: Convert to fraction form
    158.59/218.71 = 103.27/x
  3. Step 3: Cross multiply
    158.59x = 218.71 × 103.27
  4. Step 4: Simplify right side
    158.59x = 22,586.18
  5. Step 5: Solve for x
    x = 22,586.18/158.59
  6. Step 6: Final answer
    x = 142.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.