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Finding the Fourth Proportional to 164.05, 245.92 and 55.78

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Solution

The fourth proportional to 164.05, 245.92 and 55.78 is: 83.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.05 : 245.92 = 55.78 : x
  2. Step 2: Convert to fraction form
    164.05/245.92 = 55.78/x
  3. Step 3: Cross multiply
    164.05x = 245.92 × 55.78
  4. Step 4: Simplify right side
    164.05x = 13,717.42
  5. Step 5: Solve for x
    x = 13,717.42/164.05
  6. Step 6: Final answer
    x = 83.62

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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.