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Finding the Fourth Proportional to 149.32, 223.84 and 76.09

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Solution

The fourth proportional to 149.32, 223.84 and 76.09 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.32 : 223.84 = 76.09 : x
  2. Step 2: Convert to fraction form
    149.32/223.84 = 76.09/x
  3. Step 3: Cross multiply
    149.32x = 223.84 × 76.09
  4. Step 4: Simplify right side
    149.32x = 17,031.99
  5. Step 5: Solve for x
    x = 17,031.99/149.32
  6. Step 6: Final answer
    x = 114.06

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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.