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Finding the Fourth Proportional to 106.23, 158.86 and 75.54

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Solution

The fourth proportional to 106.23, 158.86 and 75.54 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.23 : 158.86 = 75.54 : x
  2. Step 2: Convert to fraction form
    106.23/158.86 = 75.54/x
  3. Step 3: Cross multiply
    106.23x = 158.86 × 75.54
  4. Step 4: Simplify right side
    106.23x = 12,000.28
  5. Step 5: Solve for x
    x = 12,000.28/106.23
  6. Step 6: Final answer
    x = 112.97

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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.