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Finding the Fourth Proportional to 164.02, 245.82 and 72.79

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Solution

The fourth proportional to 164.02, 245.82 and 72.79 is: 109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.02 : 245.82 = 72.79 : x
  2. Step 2: Convert to fraction form
    164.02/245.82 = 72.79/x
  3. Step 3: Cross multiply
    164.02x = 245.82 × 72.79
  4. Step 4: Simplify right side
    164.02x = 17,893.24
  5. Step 5: Solve for x
    x = 17,893.24/164.02
  6. Step 6: Final answer
    x = 109.09

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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.