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Finding the Fourth Proportional to 164, 245.39 and 102.85

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Solution

The fourth proportional to 164, 245.39 and 102.85 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.39 = 102.85 : x
  2. Step 2: Convert to fraction form
    164/245.39 = 102.85/x
  3. Step 3: Cross multiply
    164x = 245.39 × 102.85
  4. Step 4: Simplify right side
    164x = 25,237.13
  5. Step 5: Solve for x
    x = 25,237.13/164
  6. Step 6: Final answer
    x = 153.88

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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.