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Finding the Fourth Proportional to 149.34, 224.14 and 105.88

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Solution

The fourth proportional to 149.34, 224.14 and 105.88 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 224.14 = 105.88 : x
  2. Step 2: Convert to fraction form
    149.34/224.14 = 105.88/x
  3. Step 3: Cross multiply
    149.34x = 224.14 × 105.88
  4. Step 4: Simplify right side
    149.34x = 23,731.94
  5. Step 5: Solve for x
    x = 23,731.94/149.34
  6. Step 6: Final answer
    x = 158.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.