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Finding the Fourth Proportional to 301.05, 451.47 and 106

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Solution

The fourth proportional to 301.05, 451.47 and 106 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.05 : 451.47 = 106 : x
  2. Step 2: Convert to fraction form
    301.05/451.47 = 106/x
  3. Step 3: Cross multiply
    301.05x = 451.47 × 106
  4. Step 4: Simplify right side
    301.05x = 47,855.82
  5. Step 5: Solve for x
    x = 47,855.82/301.05
  6. Step 6: Final answer
    x = 158.96

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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.