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Finding the Fourth Proportional to 105.92, 158.85 and 45.04

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Solution

The fourth proportional to 105.92, 158.85 and 45.04 is: 67.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 158.85 = 45.04 : x
  2. Step 2: Convert to fraction form
    105.92/158.85 = 45.04/x
  3. Step 3: Cross multiply
    105.92x = 158.85 × 45.04
  4. Step 4: Simplify right side
    105.92x = 7,154.60
  5. Step 5: Solve for x
    x = 7,154.60/105.92
  6. Step 6: Final answer
    x = 67.55

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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.