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Finding the Fourth Proportional to 108.64, 149.84 and 81.04

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Solution

The fourth proportional to 108.64, 149.84 and 81.04 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 149.84 = 81.04 : x
  2. Step 2: Convert to fraction form
    108.64/149.84 = 81.04/x
  3. Step 3: Cross multiply
    108.64x = 149.84 × 81.04
  4. Step 4: Simplify right side
    108.64x = 12,143.03
  5. Step 5: Solve for x
    x = 12,143.03/108.64
  6. Step 6: Final answer
    x = 111.77

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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.