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Finding the Fourth Proportional to 108.75, 149.97 and 84.15

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Solution

The fourth proportional to 108.75, 149.97 and 84.15 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.75 : 149.97 = 84.15 : x
  2. Step 2: Convert to fraction form
    108.75/149.97 = 84.15/x
  3. Step 3: Cross multiply
    108.75x = 149.97 × 84.15
  4. Step 4: Simplify right side
    108.75x = 12,619.98
  5. Step 5: Solve for x
    x = 12,619.98/108.75
  6. Step 6: Final answer
    x = 116.05

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Why These Related Problems?

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