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Finding the Fourth Proportional to 108.95, 150.26 and 84.04

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Solution

The fourth proportional to 108.95, 150.26 and 84.04 is: 115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.95 : 150.26 = 84.04 : x
  2. Step 2: Convert to fraction form
    108.95/150.26 = 84.04/x
  3. Step 3: Cross multiply
    108.95x = 150.26 × 84.04
  4. Step 4: Simplify right side
    108.95x = 12,627.05
  5. Step 5: Solve for x
    x = 12,627.05/108.95
  6. Step 6: Final answer
    x = 115.90

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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.