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Finding the Fourth Proportional to 106.04, 158.96 and 75.80

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Solution

The fourth proportional to 106.04, 158.96 and 75.80 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 158.96 = 75.80 : x
  2. Step 2: Convert to fraction form
    106.04/158.96 = 75.80/x
  3. Step 3: Cross multiply
    106.04x = 158.96 × 75.80
  4. Step 4: Simplify right side
    106.04x = 12,049.75
  5. Step 5: Solve for x
    x = 12,049.75/106.04
  6. Step 6: Final answer
    x = 113.63

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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.