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Finding the Fourth Proportional to 109.72, 164.54 and 47.96

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Solution

The fourth proportional to 109.72, 164.54 and 47.96 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.72 : 164.54 = 47.96 : x
  2. Step 2: Convert to fraction form
    109.72/164.54 = 47.96/x
  3. Step 3: Cross multiply
    109.72x = 164.54 × 47.96
  4. Step 4: Simplify right side
    109.72x = 7,891.34
  5. Step 5: Solve for x
    x = 7,891.34/109.72
  6. Step 6: Final answer
    x = 71.92

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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.