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Finding the Fourth Proportional to 108.55, 149.63 and 96.25

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Solution

The fourth proportional to 108.55, 149.63 and 96.25 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.55 : 149.63 = 96.25 : x
  2. Step 2: Convert to fraction form
    108.55/149.63 = 96.25/x
  3. Step 3: Cross multiply
    108.55x = 149.63 × 96.25
  4. Step 4: Simplify right side
    108.55x = 14,401.75
  5. Step 5: Solve for x
    x = 14,401.75/108.55
  6. Step 6: Final answer
    x = 132.68

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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.