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Finding the Fourth Proportional to 108.91, 150.34 and 75.80

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Solution

The fourth proportional to 108.91, 150.34 and 75.80 is: 104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.91 : 150.34 = 75.80 : x
  2. Step 2: Convert to fraction form
    108.91/150.34 = 75.80/x
  3. Step 3: Cross multiply
    108.91x = 150.34 × 75.80
  4. Step 4: Simplify right side
    108.91x = 11,396.10
  5. Step 5: Solve for x
    x = 11,396.10/108.91
  6. Step 6: Final answer
    x = 104.64

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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.