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Finding the Fourth Proportional to 108.36, 149.22 and 99

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Solution

The fourth proportional to 108.36, 149.22 and 99 is: 136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.36 : 149.22 = 99 : x
  2. Step 2: Convert to fraction form
    108.36/149.22 = 99/x
  3. Step 3: Cross multiply
    108.36x = 149.22 × 99
  4. Step 4: Simplify right side
    108.36x = 14,772.78
  5. Step 5: Solve for x
    x = 14,772.78/108.36
  6. Step 6: Final answer
    x = 136.33

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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.