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Finding the Fourth Proportional to 119.35, 179.00 and 37.09

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Solution

The fourth proportional to 119.35, 179.00 and 37.09 is: 55.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.35 : 179.00 = 37.09 : x
  2. Step 2: Convert to fraction form
    119.35/179.00 = 37.09/x
  3. Step 3: Cross multiply
    119.35x = 179.00 × 37.09
  4. Step 4: Simplify right side
    119.35x = 6,638.03
  5. Step 5: Solve for x
    x = 6,638.03/119.35
  6. Step 6: Final answer
    x = 55.62

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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.