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Finding the Fourth Proportional to 147.96, 221.87 and 109.42

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Solution

The fourth proportional to 147.96, 221.87 and 109.42 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.96 : 221.87 = 109.42 : x
  2. Step 2: Convert to fraction form
    147.96/221.87 = 109.42/x
  3. Step 3: Cross multiply
    147.96x = 221.87 × 109.42
  4. Step 4: Simplify right side
    147.96x = 24,276.73
  5. Step 5: Solve for x
    x = 24,276.73/147.96
  6. Step 6: Final answer
    x = 164.08

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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.