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Finding the Fourth Proportional to 105.34, 158.02 and 53.97

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Solution

The fourth proportional to 105.34, 158.02 and 53.97 is: 80.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.34 : 158.02 = 53.97 : x
  2. Step 2: Convert to fraction form
    105.34/158.02 = 53.97/x
  3. Step 3: Cross multiply
    105.34x = 158.02 × 53.97
  4. Step 4: Simplify right side
    105.34x = 8,528.34
  5. Step 5: Solve for x
    x = 8,528.34/105.34
  6. Step 6: Final answer
    x = 80.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.