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Finding the Fourth Proportional to 108.34, 149.04 and 105.30

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Solution

The fourth proportional to 108.34, 149.04 and 105.30 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.34 : 149.04 = 105.30 : x
  2. Step 2: Convert to fraction form
    108.34/149.04 = 105.30/x
  3. Step 3: Cross multiply
    108.34x = 149.04 × 105.30
  4. Step 4: Simplify right side
    108.34x = 15,693.91
  5. Step 5: Solve for x
    x = 15,693.91/108.34
  6. Step 6: Final answer
    x = 144.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.