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Finding the Fourth Proportional to 108.09, 148.97 and 83.48

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Solution

The fourth proportional to 108.09, 148.97 and 83.48 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 148.97 = 83.48 : x
  2. Step 2: Convert to fraction form
    108.09/148.97 = 83.48/x
  3. Step 3: Cross multiply
    108.09x = 148.97 × 83.48
  4. Step 4: Simplify right side
    108.09x = 12,435.48
  5. Step 5: Solve for x
    x = 12,435.48/108.09
  6. Step 6: Final answer
    x = 115.05

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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.