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Finding the Fourth Proportional to 105.71, 158.47 and 67.08

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Solution

The fourth proportional to 105.71, 158.47 and 67.08 is: 100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 158.47 = 67.08 : x
  2. Step 2: Convert to fraction form
    105.71/158.47 = 67.08/x
  3. Step 3: Cross multiply
    105.71x = 158.47 × 67.08
  4. Step 4: Simplify right side
    105.71x = 10,630.08
  5. Step 5: Solve for x
    x = 10,630.08/105.71
  6. Step 6: Final answer
    x = 100.56

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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.