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Finding the Fourth Proportional to 164.04, 245.71 and 77.44

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Solution

The fourth proportional to 164.04, 245.71 and 77.44 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 245.71 = 77.44 : x
  2. Step 2: Convert to fraction form
    164.04/245.71 = 77.44/x
  3. Step 3: Cross multiply
    164.04x = 245.71 × 77.44
  4. Step 4: Simplify right side
    164.04x = 19,027.78
  5. Step 5: Solve for x
    x = 19,027.78/164.04
  6. Step 6: Final answer
    x = 115.99

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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.