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Finding the Fourth Proportional to 108.25, 149.40 and 73.81

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Solution

The fourth proportional to 108.25, 149.40 and 73.81 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.25 : 149.40 = 73.81 : x
  2. Step 2: Convert to fraction form
    108.25/149.40 = 73.81/x
  3. Step 3: Cross multiply
    108.25x = 149.40 × 73.81
  4. Step 4: Simplify right side
    108.25x = 11,027.21
  5. Step 5: Solve for x
    x = 11,027.21/108.25
  6. Step 6: Final answer
    x = 101.87

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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.