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Finding the Fourth Proportional to 149.34, 223.94 and 68.13

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Solution

The fourth proportional to 149.34, 223.94 and 68.13 is: 102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 223.94 = 68.13 : x
  2. Step 2: Convert to fraction form
    149.34/223.94 = 68.13/x
  3. Step 3: Cross multiply
    149.34x = 223.94 × 68.13
  4. Step 4: Simplify right side
    149.34x = 15,257.76
  5. Step 5: Solve for x
    x = 15,257.76/149.34
  6. Step 6: Final answer
    x = 102.17

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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.