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Finding the Fourth Proportional to 108.26, 149.36 and 82.02

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Solution

The fourth proportional to 108.26, 149.36 and 82.02 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.26 : 149.36 = 82.02 : x
  2. Step 2: Convert to fraction form
    108.26/149.36 = 82.02/x
  3. Step 3: Cross multiply
    108.26x = 149.36 × 82.02
  4. Step 4: Simplify right side
    108.26x = 12,250.51
  5. Step 5: Solve for x
    x = 12,250.51/108.26
  6. Step 6: Final answer
    x = 113.16

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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.