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Finding the Fourth Proportional to 149.17, 223.77 and 68.02

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Solution

The fourth proportional to 149.17, 223.77 and 68.02 is: 102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.17 : 223.77 = 68.02 : x
  2. Step 2: Convert to fraction form
    149.17/223.77 = 68.02/x
  3. Step 3: Cross multiply
    149.17x = 223.77 × 68.02
  4. Step 4: Simplify right side
    149.17x = 15,220.84
  5. Step 5: Solve for x
    x = 15,220.84/149.17
  6. Step 6: Final answer
    x = 102.04

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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.