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Finding the Fourth Proportional to 108.97, 150.53 and 85.68

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Solution

The fourth proportional to 108.97, 150.53 and 85.68 is: 118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.97 : 150.53 = 85.68 : x
  2. Step 2: Convert to fraction form
    108.97/150.53 = 85.68/x
  3. Step 3: Cross multiply
    108.97x = 150.53 × 85.68
  4. Step 4: Simplify right side
    108.97x = 12,896.98
  5. Step 5: Solve for x
    x = 12,896.98/108.97
  6. Step 6: Final answer
    x = 118.36

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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.