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Finding the Fourth Proportional to 149.14, 223.71 and 68.05

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Solution

The fourth proportional to 149.14, 223.71 and 68.05 is: 102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 223.71 = 68.05 : x
  2. Step 2: Convert to fraction form
    149.14/223.71 = 68.05/x
  3. Step 3: Cross multiply
    149.14x = 223.71 × 68.05
  4. Step 4: Simplify right side
    149.14x = 15,223.47
  5. Step 5: Solve for x
    x = 15,223.47/149.14
  6. Step 6: Final answer
    x = 102.08

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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.