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Finding the Fourth Proportional to 105.66, 158.71 and 67.23

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Solution

The fourth proportional to 105.66, 158.71 and 67.23 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 158.71 = 67.23 : x
  2. Step 2: Convert to fraction form
    105.66/158.71 = 67.23/x
  3. Step 3: Cross multiply
    105.66x = 158.71 × 67.23
  4. Step 4: Simplify right side
    105.66x = 10,670.64
  5. Step 5: Solve for x
    x = 10,670.64/105.66
  6. Step 6: Final answer
    x = 100.99

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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.