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Finding the Fourth Proportional to 108.54, 148.96 and 105.50

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Solution

The fourth proportional to 108.54, 148.96 and 105.50 is: 144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.54 : 148.96 = 105.50 : x
  2. Step 2: Convert to fraction form
    108.54/148.96 = 105.50/x
  3. Step 3: Cross multiply
    108.54x = 148.96 × 105.50
  4. Step 4: Simplify right side
    108.54x = 15,716.08
  5. Step 5: Solve for x
    x = 15,716.08/108.54
  6. Step 6: Final answer
    x = 144.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.